{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Laser Beam Expander with Off-axis Parabola"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import optic\n",
    "from optiland.physical_apertures import OffsetRadialAperture"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can define each component's position (x, y, z) and orientation (rx, ry, rz) in the global coordinate system. This differs from the typical surface definition, in which only a \"thickness\" value (in z-axis) is provided. Note that the default value is zero for x, y, rx, ry, and rz."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "lens = optic.Optic()\n",
    "\n",
    "# define the physical aperture for the off-axis parabola\n",
    "aperture = OffsetRadialAperture(r_max=17, offset_y=45)\n",
    "\n",
    "lens.add_surface(index=0, radius=np.inf, z=-np.inf)\n",
    "lens.add_surface(index=1, z=0)\n",
    "lens.add_surface(\n",
    "    index=2,\n",
    "    z=10,\n",
    "    radius=np.inf,\n",
    "    is_stop=True,\n",
    "    material=\"mirror\",\n",
    "    rx=np.pi / 4,\n",
    ")\n",
    "lens.add_surface(index=3, z=10, y=25, radius=np.inf, material=\"mirror\", rx=np.pi / 4)\n",
    "lens.add_surface(index=4, z=30, y=25, radius=-9.70685, material=\"N-BK7\")\n",
    "lens.add_surface(index=5, z=35, y=25, radius=np.inf)\n",
    "lens.add_surface(index=6, z=85, y=25, radius=39.9205, material=\"N-BK7\")\n",
    "lens.add_surface(index=7, z=90, y=25, radius=np.inf)\n",
    "lens.add_surface(\n",
    "    index=8,\n",
    "    radius=-40,\n",
    "    y=-15,\n",
    "    z=150,\n",
    "    material=\"mirror\",\n",
    "    conic=-1,\n",
    "    aperture=aperture,\n",
    ")\n",
    "lens.add_surface(index=9, y=-15, z=131, rx=np.pi / 2)\n",
    "\n",
    "lens.set_aperture(aperture_type=\"EPD\", value=5.0)\n",
    "\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=-0.3)\n",
    "lens.add_field(y=0)\n",
    "lens.add_field(y=0.3)\n",
    "\n",
    "lens.add_wavelength(value=0.633, is_primary=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0EAAAE+CAYAAABLFhvkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/TGe4hAAAACXBIWXMAAA9hAAAPYQGoP6dpAACiDUlEQVR4nOz9d2Ac55XmC/+qOqPRAbGRE3OURICSKAfJMiVZsmUl27IcZ3Z25n6zY9+d0dy7d7271/tN2M8b7h3Pzl6P5+6Mx7ZsK0fbytHKIgGKkhjFBJBEzmiEjvV+f1RHoEE2MkGenwx3d9Vbb73VRKinzznP0ZRSCkEQBEEQBEEQhEsEfaUXIAiCIAiCIAiCsJyICBIEQRAEQRAE4ZJCRJAgCIIgCIIgCJcUIoIEQRAEQRAEQbikEBEkCIIgCIIgCMIlhYggQRAEQRAEQRAuKUQECYIgCIIgCIJwSWFd6QUsFMMw6OrqwuPxoGnaSi9HEARBEARBEIQVQilFMBikqqoKXZ893rPqRVBXVxe1tbUrvQxBEARBEARBEC4Qzpw5Q01Nzaz7V70I8ng8AJw4eSr1XBAEQRAEQRCES49gMMiapsbz6oJVL4KSKXAejwev17vCqxEEQRAEQRAEYaU5X5mMGCMIgiAIgiAIgnBJISJIEARBEARBEIRLChFBgiAIgiAIgiBcUogIEgRBEARBEAThkkJEkCAIgiAIgiAIlxQiggRBEARBEARBuKQQESQIgiAIgiAIwiWFiCBBEARBEARBEC4pRAQJgiAIgiAIFwTBYHCllyBcIlhXegGCIAiCIFz4KKUYDA3QPtae+jrce4iOoY5Zj9E4d8d2MLu6+3x+LLqe6vCePk5LjUm/Ytq4WcZM254al9o+bVzyyIy5c5/vHOua7Zy5xk2bc/qx6Xdu+vbc15G54pljUxcy73MuZF25z6XNWBcTiui7UdZv2sBtN9+OxWJBEJYKEUGCIAiCIKSIxqOcHT+TJXbag+bjRHQcAItmpdZTQ8FUARWhCvw+f9YcCnXOcyT3K6UYHh6mobSR4pLiaccmx0w7JuPYrHHJV0rlNSbXnKhp46bNc661zfecShkAGNPnnD7PjONznWv62OzrYNY1TBu3GOecx9pKBkuoi9Xx8UdHuX/oV9x+xx14PB4EYSnQVPq7dFUyNjaGz+ejr38Ar9e70ssRBEEQhFXBaHg0IXJOpYROx1g7neOdxFUcAI/NQ6OvkXpPPfXeRhq8DTR4G6gprMaiWfnx3/89lZUVXHnVVfNaQzwe5/5f/YovfOFWtm7btpiXJ6xS/r+//T62QzYscQtut5s77ryTmpralV6WsIoYGxujvKyU0dHRc2oDiQQJgiAIwkVK3IjTPdmdiuh0JAXPWDvD4WHATEuqcldR723gk1WfSgmdBm8jRY6ijNSubAYHBxkbG6W5pXk5L0m4yLli0w5+OPQ3fC38NYYGhrj/V79i9+4buGLHjlm/FwVhPogIEgRBEIRVzmR0ko5ge3YK21g7Z4KniRgRAJwWJ/UJgXNlxVWm0PE0UOupw2l1zvmcp06dRNd1AoHAYl+OcAnTEtjJuG2ctZ9az9gHoxw5fJgXXnie7u5ubrzpJmw220ovUbhIEBEkCIIgCKsApRT9U/3p9LVkdCfYTu9kb2pcmauMBm8DO8qv4I61d9LgMYVPeUE5urZ4prCnTp6ivLxcbkqFRaW6sJpKdyXvD+/j3tv+nMrKSl579VU++uhD+vv7uOPOu/D5fCu9TOEiQESQIAiCIFxAROIRTgdPZ4mcjsTzydgkAFbdSl1hHfXeBm5p+Hwqfa3eW0+hrXBpFxgOYgyexNH+EutrayjoeHneUxmGwUZ1DH/36+i22V3mhEuLFkeAttOvYCnYyC4fVFzTwJN7T9PT08PP/ukfuO2Lt9KwbvNKL1NY5YgxgiAIgiCsACPh4Wnpa2aEp2uiCyPhGOaz+2jIMCRo8DZQ722gyl2FVV+izzGVgok+tOF2tJF2tOFTGc/b0SYHlua8gpDgqUI3/6GshDc6zuI3zJ+FETw8zK10axVowHXXf5Yrr7xS6oSEGYgxgiAIgiCsMDEjRtdEV0rgdIx1pETPaGQEAF3TqXJX0eBt4Lqaz2QJHr+jaGkWZsRg9IwpaoZPpQXOcDvaSAdadCI1VLnLUUWNqOI1GE2fRRU18OGZIG8e6ODWO76Ers8/xS4ej/PoI49w002fY9Nm+WRfMLl8shde+BrvfPmfuL7qUwC4gK/FYrz48//Kh8EiXn3lZXp7urn5ls9LSqYwL0QECYIgCMICGY+OJwTOqQwntnZOj58mZsQAKLAWpCI511RdY6aveeqp9dTisDgWf1GRCVPQDLejjZzKEDntpgBKrEtpFvDXofwNqNqrMLbfjfI3oooaUP56sLtnTP3Rh/fjDjSBqwhjAUs04nFCmou43QuuJRJ8wqqjwlVEdWENbSNHuH7NF1PbbcAXmmupfv1ZnudaDh06xNDQEHfe9SXJBhLmjIggQRAEQcgDQxn0TfZm1eokn/dP9afGBQoC1HsaaAns5Evrvpyq1ylzlS1u6o5SMDmYO2Vt+BTaRF96qK3AFDlFDRjrbzYjO0WNKH8D+GpgDql18Xicrq5OtklfH2EJaSlvobW3dcZ2VXMlV8b/kuJb/g2Pv7afnp4efv6zn3LHnXdRU1OzAisVVisiggRBEAQhg1AsxJngadqnWU53jLUTiocAsOt26jx1NHgbua3p9kSEp546Tz1u28zIybwx4hDsSoucTLEz0o4WDqaGqoLSRPSmAaPhUymRo4oawF0OiyTA+np7iUajlIs1trCENJc389TJJxkODVPkTEcJVcVlKN1Gfewk3/693+exxx6lv6+PB+7/FTfe9Dkuu+yyFVy1sJoQESQIgiBcciilGAoNJYTOqVStTkfCmEBhegYVOYpo8DawuXgTNzfckqrVqSyoxKJbFmcx0Sm0kdNZKWskozsjp9GMqLlmTQdvtSluKq/A2HxHIqJjCh8cnsVZz3k4c/YsFouF4uLiZTnfYjPdDyqXPVQux6gZx+UcM/fz55or95pyHKemj8l1wrnPs5hryrmkPN7LRvd2AF7teIdPVX02Y5xOedlWYu3vEl7/dW667Su88crzdJw4xrPPPE13Tw833nDDgmrVhEsDcYcTBEEQLlpiRpSz450Z0Zx0zU4wakZRLJqF6sIaM5rjqc+ym/Y7/IuzkKnh3ClrI+1owe7UMGV1ovz1KWGjihoh+dxfBxb74qznHCilGJqI0DkaonskRPdoiK7RKbpGQnSNhmjvGyEU09AtOW4yz3FHkeuGGSBuGOianpUqOPMG/PzCwRw3+/mF1Ye76f8iNrmWcM/tWdv/T+svuEFv5dOR/57Yorjc2s0Vti4A6usbuP2OO3C5XMu7YOGCQNzhBEEQhEuGYCSY6qXTPtaeivCcCZ4lrkwDALet0BQ4ngY+XX1tKqpTU1iLzbJAdyllQLBnmtNaxvPQSHqoqyhdn1O7yxQ8RQnBUxiARWxomotwNE73mClwukZNkdM5MkX3aFLwhIjE0nYHLptOpc9Fld/JlkoPntETVFT5qKutyzn/XLLulGGwd+9etm3bRlV1dfY8OefW8hiT37nnO1c+68p9vlxzzdw4fVz+6zr/YhcyV37ryu/Nz3euR09fyangR/zvn70ia1zgbC917z3Lz75UQ8RZljrmyNEj9H30Fh0d7dz3859x15e+TGlpaV5rEi49RAQJgiAIqwJDGfRM9KQd2ILpWp3B0GBqXKW7knpPPVdX7OKr69N20yXO0oUZE8TCaKOnzXS16T10Rk+jxcx6IYUGnkpT2JRvwVj/+XTaWlEjOJeu271SiuHJqCluRqZSIqcr4/nAeCTrmLJCO1V+F5U+J5sqPFT6nVQlRE+lz4nfZUu9b8FgkB8deoprN19LXf3C0+Hi8TjB9/u5aY2brdtqFzyfcHERcX6Kf//2M2yr0yh1ZYiZys/Ce/AJxymM9Wlr9Z0NRexuG+ROXwfDw8Pc9/Of8cUv3sbadetWYPXChY6IIEEQBOGCIhSboiN4OquBaMdYOx3BDsLxMAAOi4N6Tz313gaay5tTDUXrPHW4rAtIgQkHp6WtnUzX6Yx1oiWSsJTFjvLVmdGcxmvBn47mKH8dWJ2L8E7MJBIz6B0L0TkSons0U+SYKWvdoyFC0XQUx2HVqfQ5qfa72BDwcN36MqoyRE6F14ndmn/kqbvbTDcqkU/XhWWguXwHAG19bdxUf1N6h7cK5a1GO7sHNnw+tbnAbqWopIzxmnrWTR7kzOnTPProI3zm+uu58sqrpLGqkIWIIEEQBGHZUUoxGBrIcl9LCp6eyZ7UuBJnCfXeBraWbuMLjbem6nUq3BXo80kbUwometM9c6Y3Cp1KR5SUw5MQNY0YVc3ZdTqeSlgsY4TU0hSjUzG6R6cSIictbJL1OAPj4ay6lxK3PSFynFy7roxKn9MUOX4XVT4nRQW2Rb3x6+7uxuVyUVBQsGhzCsJslLrKaPA20Nq7N1sEAUZ1C3rnXuLTjtlS5eVQ/yT/5x/cw0svvsD777/Pq6+8wtDgEDfedBMWy+L+3AqrFxFBgiAIwpIRjUc5O34mW+wk0tgmouMAWDQrtZ4aGryNfK7+5lT6Wr23AY99Ho5n8ajZDDRXbc5IB1p0MjVUFQbMxqAl6zDW3pAQOmbqGq7iRbOVBojGDXrHwlmpadNT1SYj6Vs6m0Wjymemqa0pc/OptSVUJsRNMorjtC3vDV1PTw/FxcXyibqwbLSU72RP73sztqvqK9Ff/UuIhcGabja8udLLcwd7UWjceNPnKC4p4ZWXX+aDD/YzMjLMHXfciVMMEwREBAmCIAiLwGh4NCua0x40U9g6xzuJK/PG3mPz0OBtoMnbyGdqrs8wJqjGqs/RmCAybgqa6b1zhttNAZQ4p9KtKF8tFDWiandhbL8nQ+jUg21xIhpKKYKhGF0JUZM0GMgUOX3B7ChOUYGNKp+TSr+LT6wpSTxPp6oVF9jR9QtHbCil6O3pYc3atSu9FOESoiXQwqPHH6Fvso/ygvLUdqNmJ9Z4GK33I1R1S2r71iov4ZjBiYEJNgQ87Nx5JUVFxfz6qSfp6Ojgvvt+zpe//BWKVqnFu7B4iAgSBEEQ8iJuxOme7M5pNz0cHgZMV6kqdxX13gY+WfWplNBp8DZS5CjKP4KgFEwOJMRNun9OKqIz0ZceanOnm4Ru+HxGbU4D+GpAX/ifuljcoC8YToicjHqcRC1O12iIiXB2FKfCaxoL1JcUsKupJGU0UOkzozku++pKy5mYmGBycpLioqLzDxaERWJHeTMAbX2t3NxwS2q7CmxFWZ1mSlyGCNpY6UHT4GDXGBsCZiR57dq1fOOb3+LRRx5maGiIn//859x5113U1eV2OBQuDUQECYIgCFlMRifpCLZPq9dp50zwNBHDdBZzWpzUJwTOlRVXpaynaz11OPM1BTDiptlASuhMEzuR8dRQVVCWspI2Gq7NbhLqLltw2tp4KJaqv8mqx0nU4vSOhTAyojh+l80UNH4nVzeWpJ6bqWouSt0XVhRnMejr7QWQT9CFZaXYWUyTbw2tvdkiCIsdVXk52tm9cOUfpzYXOqw0lBRwsGuMO69I266Xl5fzrW//Ho89+ijd3V08+MD9fO7mW9i+fftyXo5wASEiSBAE4RJEKUX/VH86fS0Z3Qm20zvZmxpXlihM3lF+BXesvZMGjyl8ygvK8zMmiE4l0tayDQgYOYU2cgbNiJrr0XTw1pjCproZY+tdqdoc5a8HxzxqgxLEDUV/KoqTUY+TeN41GiIYiqXGW3WNgNdBlc9FdZGLnQ1FKQvpKp8ZzXE7Lr0/n/39/dhsNgoLC1d6KcIlRkt5C291vzVju1G9E8uBR8zIccYHIVuqvBzsCs4YX1hYyNe+/nWe/u1vOHLkCM88/VuGhga59trrpM7tEuTS+y0uCIJwCRGJRzidsps2U9g6gh20j7UzGTMNAqy6lbrCOuq9DdzS8PlU+lq9t55CWx43vFPDiShOZm1O4vl42ulNWV0of70pbNbemDYgKGow63Ys9nld40Q4lqrByarHSaSq9Y6FiWWEcbxOa0rQNNcXcWvCaCCZplbmcWC5yKI4i0FfXx8+n09uFoVlpyXQwsPHHqJnopsKd2Vqu6rZifbu/4CxTjP1NcGWSi8vH+4jbqgZP8s2m43bbr+D4tdf5+233+Ldd95heGiIL9z6RWy2BTZNFlYVIoIEQRAuAkbCwzntprsmujCU2TfGZ/fR4G1knX89N9TdSL23ngZvI1XuKqznqptRBgS7c4uckXa00Gh6qKs4XZ9T94kMW+kGKKyYc9qaYSj6x8PnFDmjU+kojkXXCHgcqfS0K+r8ib44zoTwcVHolD9982FgYACfb+kavQrCbOwob0ZDo7W3lS803ZrablTvBEA/uwcjUwRVeZmKGpwamGBt+cwPcjRN49PXXktxcTHPPvsMR48eZWzsV3zpy1/G7XYv/QUJFwTyl0AQBGGVEDNidE10ZaWwdYyZUZ3RyAgAuqZT5a6iwdvAdTWfyTAmaMDvOEdBeyyMNnI6ZUJApiHByGm0RJNShWY2KvQ3oAJbMTbemhI5qqgRnHO7SZ6MxOgeDdOdVY8zlTAfCNEzFiIaT0dx3A4L1Qnb6MtqfdyytYJKvzMV2Sn3OLBa5tE/SDgnSimGhgapqak+/2BBWGT8Dj/r/Oto68sWQbjLUEWNaJ2tsOXO1ObNlWb67IGusZwiKMnWbdvw+f2pOqFf3PdzvvKVuykuKVmyaxEuHEQECYIgXGCMR8cT4iZT7LRzevw0McOMehRYC1K9dHZVXpMSOrWeWhwWR+6JQ2MZTmvZ6WuMdaFhig1lsafS1ozGz5jpaklbaX8t5Gl8YBiKwYlIymQg2fAzsx5neDKaGq9rUO5xmGlpfifba3yJKE66HsfrknSVlSAYDBKNRvFKJEhYIZrLm3mt87UZ243qneide7KapnqcNuqLTXOE2y+vOue8tbW1fOtb3+Lhhx9iZGSEX/ziPu760pepqak553HC6kdEkCAIwgpgKIO+yd4ZpgTtY+30T/WnxgUKAtR7GmgJ7ORL676cqtcpc5XNrM1QCsZ7sq2kMw0JpobSQx3elLAxanZmR3M8lZCH6UEoGk83/MxMVUtEcbrHQkRiRmp8gd2SSkvbWu3jhs2BjFQ1FwGvA5tEcS5IhgYHAfB6vSu8EuFSpTmwkwc+foDO8U6qC9MRSaO6BeuhxyE6mdX3a0uVl0PdY3nNXVxSwje/9W0efeRhuru7efCB+/nCrV9k48aNi34dwoXDkoqgH//4x/z4xz+mvb0dgC1btvD973+fm2++GYBQKMSf//mf8+CDDxIOh7npppv4+7//ewKBwFIuSxAEYdkIxUKcCZ6mfZrldMdYO6F4CAC7bqfOYxoTfLHptlRUp85Tj9s2LT89HkUbPQ3dH+XoodOBFptKDVWFFaawKd2Asfam7P45rqJz1ucopRiaiGQ0/AylLKSTImdwIpJ1TJnHQXWiFmdzlSfV9DMpcnwuqxTVr1KGhofQNE2c4YQVY0f5jkRd0N4sEaRqrkQzYmjd+1F116S2b6708NrH/RiGysuu3u12c8/Xvs6vf/0Ux48d48knHuezn93NziuvXJLrEVaeJRVBNTU1/Of//J9Zt24dSil+/vOfc9ttt/H++++zZcsW/uzP/oynn36aRx55BJ/Px3e+8x3uvPNO3nprpg2iIAjChYpSiqHQUELonErV6XQkjAlUIs2syFFEg7eBzcWbuLnhlpTYqSyoxKJnNM6MjJui5sSrMxqFMnoGLWF0oHQryl8H/kZU/ScwLv96IqLTaG7P+FR0OpGYkWj4OZUhctJpat2jIcIZURynTafS56Ta52JTpYfrN5aleuJU+ZwEvE7sVoniXKwMDw9T6PGg6/JvLKwMXruXDUUbaO1r5bY1t6e2q7JNKLsb/exe4hkiaGuVl8lInFODk6wpy8/swG63c+edd/HSiy+wb98+Xn75JUZHR7n+s5+V7/2LkCUVQbfeemvW6//0n/4TP/7xj3n33XepqanhJz/5Cffffz/XX389AD/96U/ZtGkT7777LldfffVSLk0QBGHOxIwoZ8c7s+ymk8+DUbMnhUWzUF1YTb23getrP5tlN+13+M2JlIKJfjNN7dTbM3roaJPpdDhld6espNMmBAlraW815HB1U0oxPBmlu38sq+lnZ0LkdI+G6B/PjuKUFtrNuhu/i89UeFI1OMn+OEUFNoniXMKMDA9T6JYokLCytAR28uLpF1BKpX8f6RZUVTNa596ssZurzNTNQ91jeYsgAF3XueHGm/D5/Lz66iu0tu5lLDjGrWKhfdGxbDVB8XicRx55hImJCXbt2kVbWxvRaJTdu3enxmzcuJG6ujreeeedWUVQOBwmHA6nXo+N5ZfvKQiCkC/BSDAropOM8JwJniWuTGMCt63QFDieBj5dfW0qqlNTWIvNYgMjBmOdpqg5sw9t+PF0rc5IO1pkInU+5S5PpaoZTZ9JmxAUNUBB6Yy0tUjMoHcsRFfHWHaqWsp4YIqpaDqKY7fqpqDxOVkX8HDt+rKE4DFNByq8Dhw2C4IwGyMjoxQV+Vd6GcIlTkt5C7888gvOjp+h1lOX2m5U78Sy72dZTVN9Lhs1RS4Odo1x6/bKWWbMjaZpXHX11Xi8Hp7+7W/5+OhRHhy/n7u+9GUKCmaPsAuriyUXQR999BG7du0iFApRWFjIE088webNm9m/fz92ux2/3581PhAI0NPTk3sy4Ac/+AF/8Rd/scSrFgThYsdQBj0TPWkHtmC6VmcwNJgaV1FQQYO3gasrdvHV9Wm76RJnKVpsCm24w0xZ6zqCdvA5M2Vt+BTa6Bm0hJOb0izgqzGjONUtGFu/hCpqSoiderCnP2FXSjEWitE1MkXXmRDdo2dmiJz+8TAq7RpNsdtGpc9Ftd/Jp9aVpN3UEvU4xW67RHGEBTE2NkpNrbhlCSvL5WWXo2s6rb2tWSJI1exEe+v/Rhs+iSpek9q+pcrLwa75f1i+efMWCgs9PPbYo3R2dvLLX9zH3V+9R/plXSQsuQjasGED+/fvZ3R0lEcffZRvf/vb/O53v5v3fN/73ve49957U6/Hxsaora1djKUKgnARMhWbomOsg45g2nK6Y6ydjmAH4UTvG4fFQb2nnnpvA83lzTR4G01jgsJaXNGptAFBbzvakd+lX4/3ps6jrK5ENKcBte5zqZQ15W8AXy1YzDSKaNygLxg2RU53iO7DfXSNns5qAjoZSZu92iya2fjT56SpzM0n1pakmn5WJfrjOCWKIywhyQwMaSIprDSFdg8bizbR2tfKHWvTfYGMqhYAtM7WbBFU6eF/vtGetzlCLurq6vjmN7/Fww89yNDQEL+47+fc/dWvUlZWvrCLEVacJRdBdrudtWvXAtDc3MzevXv57//9v3P33XcTiUQYGRnJigb19vZSUVEx63wOhwOHY5YeGIIgXJIopRgMDWS5ryUFT89kOrJc4iyh3tvA1tJtfKHx1kQ6Wx0VcYVlpMNMUxtoRzu2F234pPk6HEyfx1WcEjdG/SfSQqeoAdwB0DSCoWii4WeIroEpuo+H6B49nGoC2hcMY2REcfwFtpRt9K41JannyXqcErd93n+8BWExGBsbBRARJFwQtARaePrU09l1QS4/RukG9LN7MLbdnRq7pcrLeDjG6eFJGkrm//1bWlrKNxJCaGBggF/+8pd86Utflg/hVznL3ifIMAzC4TDNzc3YbDZefvll7rrrLgCOHj3K6dOn2bVr13IvSxCEVUA0HuXM+Bk6MsVOIo1tIjoOgEWzUuupocHbyOfqbzYbiroraTB0fOP9aMPtMNyOdvI3ZkRn9DRa3DQJUGjgrTaFTeVlGJtuT0d3/I3EbIX0j0foTERtukdCdHVM0TXSRffoSbpGQ4yHY6n1WnWNioSgqSt2cXVTcVrkJKI4BXZp1yZc2ATHzA8CpBZCuBBoKW/hvsM/pyPYQYO3IbVdVbegdbZmjd1cmTBH6AouSASB2SPr69/4Jo8+8gidnWd56MEHuO3221m3bv2C5hVWjiX96/u9732Pm2++mbq6OoLBIPfffz+vvfYazz//PD6fjz/4gz/g3nvvpbi4GK/Xy3e/+1127dolznCCcIkzGh7Niua0B80Uts7xTuLKTBXz2Dw0eBto8jbymZrraXCW0ah0akIT2EfOmFGcjhdN0RPsRkvYVCuLA+WvN6M5az5rpqslhE7QWUX3hDJT1ZIipyvZBHQ/vcEw8Ywwjs9lpTJRf7OzoShlNJAUOaWFDiwSxRFWOcFx8wMGl8u1wisRBLi87AosmoXW3tYsEWTUXIn1g/shHASHB4Bit50qn5MDXWPcsm32LKN8cblcfPWee3jyySc4cfw4jz/2GJ+7+RYuu+yyBc8tLD9LKoL6+vr41re+RXd3Nz6fj+3bt/P8889zww03APDDH/4QXde56667spqlCoJw8RM34nRPdNEe7JhhNz0cHgZAQ6PKXUW9t4FPVn2SBnsxDcpCYyRCyVgf+mg7WufbaCP3o00Np+ZWTl/CSroBo+ZKlL+BuL+BQXsVZ6J+usbCqYafXR8nRc4ZxkKnUnNYdI0KryNlG72zoShVm5O0jS50SBRHuPiZGB/H6XRisUjtmbDyFNgK2Fy8mba+vXxp3ZdS21X1TjQUWlcbqvG61PYtVV4OdS+ek7DNZuPOO+/iuWef5aOPPuTZZ55mcmKCq3ftEgOaVcaS/gX/yU9+cs79TqeTH/3oR/zoRz9aymUIgrCCTEYn6Qi2T6vXaedM8DQRw0xDc1qc1Cfqc670rqMRGw3RKPUTI7hGz6B9vA9t5Am0WCg1r/JUmkKnbBPG+psJeeros1bSoQKcmXKmjAa6T4boHJmid2yKmHE8dbzHaU3V3uyo86eafiZFTrlHojiCADA+YYogQbhQaAm08NSJp7LqglTJWpTTbzZNbbwuNXZzpZefvdOeXUO0QCwWC7d8/vO43W7effcdfve715iYmOCzu3eLEFpFyMeYgnAJ8f6+fXR2di7afIYymGKKoBEkqIIE1RhjKkjQCGJ443SFuuidTDuolbnKaCisZUdhPXcWrqMxFqNxMkjFaBeWE4dh7CU0Zfa3UboN5a9FFTVh1H2S4KZ76LdUclqr4ESkhLPj0DU6RdfpEN0fhRiZigITwEl0DQLetMHAZTW+tMhJ2EZ7nNL0ThDyYXJiEqdTUuGEC4fm8p389NBPOTl2kjW+hBucpmNUt6B37iWeMXZLlYfRqRhnh6eoLV68ujZN07juM5+hwO3mlZdforV1L5OTE3z+C7dK1HSVICJIEC4R4vE4zz//HF6v97w3NApFhAgT2gST2gTjiccJbYIJbTLxOM6kNomhGZkHUqBcOKNWamJ+Pl/WRKOjnsbJcRqDfXh6O9Am29LD7YWookZi3npGGrYyYK3irBbgeKyMj6d8dI5F6OoK0XMkRDSerMWZoMAeotrvpNLnYnuNj89tCWSJnHKPA5tFX4J3URAuPSYmJ3A6xZVVuHC4vOwyrLqVtt7WtAjCTInT3/sRKAM082/AlirTHOFg99iiiqAkV155JQUFBTzz9G85dOgQ4XCE2++4A5tNPmi70BERJFzwxONxopEITinKXRTWb9mAv8bHUHiIwcgQw5EhhiJDideDDIXN12EjnHVcoaWAEmshJZqLdVohZUYhZXGD8miYQHiCQGiM8okhnJHT6YNOgXKXE/HWEyyo52jdLjqp4ES8jMPhUj4OOujqDzHcEU0domlQVqio9oeo9LnYWuVLNf1M1uJ4nVZJORCEZWJqcpKSkpKVXoYgpHBaXWwt2UprXytfWZ+2xDZqdmJ9fQxt4GNU2UYASgsdBLwODnYF+dyWhZsj5GLr1q24XC6eePwxTpw4ziMPP8RdX/qytHS5wBERJFzQxONxfvXIL+kZ7MZ1pQvNpqNQGMrAjFeYKVkKBUphoFBKoTBQitxjlQIUhlKk/lOZj+c4dtp5SIxRgErsV4n9JOZMnid7bPI8as7Hmuc3pq3ZHEtqDvMa0seZ/4XqQjza/Sh0p99jh2aj1OKmVHNQiYXtcSiLeQlEpgiEx6mcHKE8HMSpMprbADG7j5CjmClrEUFrGYP2dRy3++hXPg73x+iyVHLG3siJUY3IYDpa5LLpVCYafW6pcrJ7UyAlcir9TgIeJ3arRHEE4UJhKhSSmznhgqO5vIVHjz2KoQz0RNRHVe1AaTra2T0pEQQJc4SuxTNHyMWaNWv4yt138+gjj3D69GkefOABvnL33eKqeAEjIki4YInH4zz+0C/p6ugkTpyPPnyNMWc/OqClvjTzUZHaDkwbk/7Sk+PP8aUnZtFyzKMr89GaNZ7ErLOfV5sxHlDaOdbJjDVwjvXraub4rPcn8TU1EaZUGdTGJglEJimPxXErhQYodMJ2H1O2IoKWIkb1SoY1H3udPnptXrrjXs5EPHRECjkTKSQWyv71oQFepwWf00LcGKPUZWPXxjruTNhGJ/vi+F02ieIIwioiHAphFxEkXGC0lLfwk4P/xImR46wrSvTqsReiyregd7ZiXPGt1NgtlV5+8d7pRTVHyEVdXT33fO3rPPTgg3R3d3H/r37J3V+9h8LCwiU7pzB/RAQJFyTxeJynnnyCEx2dKOJ87N/LFzqLgKJFO0fm70EttS0tgNAytyfHaTOPzTgmtXnGsenjtPSQ1ERa1pxa1rEz59RmrD3zl3p6rTPXPjU1xVhU45CripfwckZ5OBP20K98DOHBCKUjMB6Hjs9pNYVNgQWf00rAaWF9Quh4ndbEo/m60G5Juak99+xzVFRW8PnPbUAQhNVLPB4nFotht9tXeimCkMW20u3YdButfa1pEUTCKrv99ayxW6q8jExG6RoNUe1f2shMZWUlX/+GKYT6+/v51S9/wVfv+Ro+n29JzyvMHRFBwgVHUgB9/PHHKAWG9xUmKssIXP93qVSyZL/K5HMzLYxUGptSTNueTGkjkcaWfm5uV2D+z0xBS86VSldLbAfIeJ7cTuZxiXWp6fNNW6NhZq+lnmeea/p6c10Xs1yjmra+zLUEreP09/awvrqakkIHdU4rWxMixvwyhY3HYRF7aEEQCIfN2kAp8hYuNJxWJ9tKt9PW18Y9G76W2m7UtGDb988wOQQFxUDaHOFQ19iSiyCAsrJyvv6Nb/LgA/czPDzMr375C+7+6j1SW3eBISJIuKDIFEAWi4XeUBy/vROvs5rrNpSt9PJWPcFgkB/9P/+DazfUUFe3NAWigiBcPEREBAkXMC3lLTz48QNZdUFG9ZUA6F2tGGtvBKDc46Cs0M6BrjFu2BxYlrUVFRXx9W98k4cefIDBwcGUEAoEluf8wvmR6mPhgmG6ALrzri8RUhoGSA3JIuHxeCgoKGBoaGillyIIwiogEjWdG61W+cxUuPBoDrQwFhnj4+GP0xv99aiCMrSze7PGbqnycqg7uKzr83q9fP0b3yAQCDA5Ocn99/9qUXv1CQtDRJBwQZBLAK1Zsya7fkZYFMrKyxkZGVnpZQiCsAqIiggSLmC2lWzDYXHQ2tea3qhpGDU70TuzRdDmSi8Hu8ZSKfHLRUGBm3u+9nVqamoIh0I89OADnD17ZlnXIORGfqsJK85sAgjMon6FlgpzCwunpLiEkydPrPQyBEFYZJRSxIwYcRUjZsSIqbj5aMSIJ56nH7O3x4w4MRUjnniMGTHiRoze/h5OFp7kjZHXcYQcGedKPJJ5Q6ky/n/aPpW9L7lfGQbHPMd4YeAFPjzyYeoYlXVM+lFlzaNS1505Jn1oruNUxnEZ68iYK3P/zHkz9qdeZ8+Rea0qxxpJ1HHOdm2Z71zWtZ1vf6K9Qub7fK5rn+3c57u2rH+jGe9Z9v6Z82b/G+aed+YaQU1bT/rcFs3KPx34nzzf8Wx6PVofxPownv0qScZCUabKp/jy0z9K1bxmv2cq69wz37Np1z7H70/drbO1YCtFk0X88v5f8LWvfp26unqElUNEkLCinEsAJTEy3NWEheMv8jM+Pr7kVqGCcKERN+Lpm/7kDX8O0TBDKGQKgxmiYfpcc5k/U6TkFivTxUnyfJnrSj6afc2WgFLYd2YfkOldmf08tS3leJljX8olM3tfvCjO4d7D6P06mqalx6FlOWgmt2WfI9N5M/vc5rjc+9NryHTjzNif3KppOc9N1lzMclym++f090XLdhbNeU2ZzqM5rmnauWe+Z9nXNtu5c74nOc5tvokaeqpZQ3JechyXcf1ZzqeZx2W6sU77t5uxxhzHaUkhY3Bs5Bgb/BvR9cTaHL1YBzow3DVQUAJoTEUMTnd1UuUso7aoIOv9yf73mvn+nPvacl1Tjv1o0AQdb7bjCXp4+KGH+NKXv0JDQwPCyiAiSFgx8hFAmqahEAm0mHg8HmKxGNFoVGxvhRRKqcSNeDznTf2MyEHOKMO01ynxkB1dyL6pz32ec4mG2c9zbpGSHbVYPDQ0rLoVi2ZJPFqx6lasugWrZsWiW7Em96W2ZexLHFtgc2Tts+rZ86Xnz37MOud5zpN7/tnPc+rESZ58/Am+8pW7cTqdi/7exeNx7v/Vr/jCF25l67Ztiz6/cPGzv38///Klf8Gda+9ic8lmc2N0Cvt7DxMr2ITR8geA+Tvu+TdeY61ey//avHbF1vuXk3/B+PvjFI4V8ugjD3PXXV+isalpxdZzKSMiSFgR8hFAYIofBZIOt4gUFLgBCIVCIoLmgKGMHJ/Gn//T/+miIX3jHptx454pGuIqep758zvPuURD9vliS/beWTTLLDfuuW++rdNu4K26FbvFPu2mftp8MwTI7KJhukjJ2qdbsGq2WefPtd6L+feTZpifbuv6xXuNwupmS/EWnBYnrX170yLI5kJVbEPv3JMSQZqmsaXSy6GusRVcLdhtdo42HOWOyTs4fvwYjz76CHfeeRdr1q6cMLtUEREkLDv5CiBIiyCJBC0eyU9zI5HIgudSSmFgYKjEV+J5iBATxgT9k/3EVDQ7InCuT/Qzbtxj08fMSAvKFAa5RUmu6MKMc+WZArVkqUaQdeNunfXGPXmTbs154+7QnbhtM6ML5xMes50vH3GSK7qQFA/WlECwXNQi4WLHMMzve0mdFS5UbBYbl5VdTmtvK9/a9O3UdqN6J5Zjz2WN3VLl5bH3u5Z7iVnYLXbChLjjzjtT90KPP/4Yt99xJ+vWrVvRtV1qiAgSlpV4PM6Djz7AmZOn0XSNDddtpNN5lrNnzyaKCo1UaaJSBgOFZxizWhkPj/Bc+7MY0/YnCxEzHw2VLLdUifGAUvM6NlnAamAkmo4mSyeTa00LAVINTo1UMaUxbf7041yOzTU2Y61KYaQKMtPXnPV+KjNvWilFNBalt7KXPSf2YOmwmBGOlJCJZ4mZGc9z7MuJGxiH//rUf1nw94yu6bN/kq9ZslKNziUa7DNSjaanK82MLsyMHJxDpMxINZouGmZGF5IRErnBFC5Uks2gJRIkXMi0lLfw00P/TMyIYtXNnlaq5kq0vf8vjPdCodmbZ0uVl394/RR9wTDlHse5plwy7LqdaDyKxWLhttvv4De/foojR47wxOOPcdvtd7Bhw4YVWdeliIggYdlIRoDOnDxNnDjvlL7DIycegXMZlVUAOCDYzn9459+f9xwaGrqWLuXUU4WKWup5sgg19Z+WHJF5bHI8047NHp85j55RNKlnFEjqmp5jPGgZ27PXrOc478zx1ozx2ee1JM6bcb6MeeJaHD0yQkDz47a70ROFrslHi2aWvepZj+Z+C/q07YlHTceSse3Y0WP4PV62btmGVbdg0XRsWkK0aHpimyX9Wku/NkVGevuqiSIk9WA8DsSB8AouRhAWB9fwcSpUL47Bw+gWy6LPb8TjVKheXCMfo/UsXbRVuLjZafXzo9gkR479hm0+M7NE2c3Ub/3Ao6iGTwJwhS3MFu0UZw7aCTQUrchaHVNDRKITaD0fYAVuu6oRPTLGoZNdPPnE49x2++1s3LhpRdZ2qaGp5TZMX2TGxsbw+Xz09Q/g9XpXejnCLMTjcR57/HFOHj+GQRy98GX+ePIwOgqUme6mk3SiAQ2Fltj+78pKmNI1/q53AD1je64vQRAEQRAuLaLAJ+tr+MORMf7l6MrW/JyPf/J5+ZnPw5un001TDTSe4iY+1Daj6xq333En69dLRGi+jI2NUV5Wyujo6Dm1gUSChCUnGQE6efwYhoLjJW9QXtLAe0X/jmQrB6XSbvyGmbsFwNE9z2PhWQYLN/NU5b8ERSJNjNRz82ky5SvRWyA5hVIkktogtV1ljDG3p5LQEotIPjcyPiNInlepjP4JGceScV4zdS65MjCmHZN5vclTGKljpu9XOeZNBB5yXE/67VNZ5zUSE8aVwdTkFFabHXQNw0ivL56YwzDSPSCWC10Di65j0cGqm1Eti0XHqoFF19Jfmvlo1TX0xDarpmGxaFh0HV3HfK1r6fm0xFiLlohEZcypZZwzcUxyv65pWC06llxrsGipea2W9LrMYzL2JdaU7EshCKuJ48dP8Mbrv+Pmm29eskjQs88+y6c+9WnWrpPCcGH+XP7B3/BeicG3Lv/fUtssr/4V2kQ/sS/8XWrbX/zmMDarzr+7eWVEhvXMC0ROPU7kX7yctf2W/qPwm1/zobGZJ594gjvvvIu1UiO0pIgIEpaUTBMEXbdwNFTAmKubyyt2cuMnbzzv8b9r+xAdKC8p447P3rz0C74E6Ovr459/8k987uabKSsrm3WcUqaIiiuVEEoZrxUYxrTXiXFxpXjjjbcoLi1l1zWfJBo3iBuKWPIr8TpqKHN73EjtM1+rvI8JJ8bHDcPcF0+PN7fnPs+51qCWyABB00yhZU0KLYuW8VrDZtFTz62J55n7LAmxZU0Iq+nHz3pMzuNnX8Psx+iJMUkRmjifJX281DZdfIQGrfRoRwgVb8RqXfxbhng8To+2jyn/elSFWGQL86d56DP844H/SaRsMzZLoi5ozQ3or/4lqnQjWM0aoIJ6F7/5sJvvVVy2Iuu0BT8mYsRQ086vAbfxPNHGz3L4VDdPPPE4d931JZpmMY4SFo6IIGHJmO4C99lbbuPdR34H5O80pGFGPOTeavEIhUIA57XH1jTNjICgwRw/AD5qj1LhVmyv8c13mSuGkRJfppA6r3BKia208Mp1/PmOiRpGSgSmj5m5hsmYQSweS5xn5nzZc8xcQ9xYuhhfWpDlK5z0jH2Jr3MKvtnnSx5j0/MXbzPFZ3p/rmP0SzCal7zmpEucIFyotAR28j8++DsODh3k8rLLATBqdmKNh9F6P0JVtwCmOcI/vtnO4HiYksLlN0ew6baUG6lVz74N11Hc+unLMexejh49ymOPPcqXv/wVGhobl32dlwIigoQlIZcNti9QA/zOFDX5TqQlLbIvvZuPpWJycgJgSRofXgzouoZd17CzSgwZ5ohhKOIqt3DKKcTiRobwy094xeOzReDOcYyhiMYV4Zhxnqhdeg2zCb6lQteYEXGbGYFLplRqGYJvulibPWp3TiFmyX1M1vGp80yP9JmCM+c5E2vStZkfUOm6JfF9IyJIuLDZULQBt62Qtr7WlAhSga0oqxO9cy/xhAjaWmXWiBzsDvLpdcsvghwW85xRIzpDBIGZFv7F227niSce5/gxs4/Ql79yN/X19cu91IseEUHCojNbH6ChCbMvjULLW9Qk/x5Lms3iEQwGsVgs0ij1EkXXNXQ0bItf3nFBoFQ64jVbymU0nhZesfhsYmv6MdOF1zkifTnTPNPiMRyN5RScsx6TsYZ4Ig11qZguujTDIBzazm8e6TBdJrN+FWsZ/5/YopG9TZs+evqHWopgaCvPP9uH/ZU30bT0fvP59HnTG5NOn+nn08+tZR2ffq7NmBe0rOMzzzf9z8/sa9RmXPc516il58h77HnWwLTt57uec71/mX93z/f+zfx3mXm+2dZ47n+X2dc4/b5A06BY38CTR94gMnB9aq4vFWxk8v3XeC70OfODVaVwWHV+/k4HH/cGZ6wx17yzXk/m9ed5PUfHgwA89n4HBVZPaq7isX5uBF472s9Iby+WpqspHJlivP8sDz30EF+++24aRQgtKiKChEUl30ao+rRfMrOhoWFo+Ysm4fyMjoxSWFgowlK4KNGSxhQWWJkuIEvPbCmbs4q3PCJwM9I4E9v6h4b48MMzbGjamPXBSVKH5fKXTZnAZG6b8SRh9mIYHDp8hqaqEkpLS7PmVUmLF5VxaOq5yt5O2lBm+rpybU8azTBje65502tJGuece43p6891vqy1qGxTn4wzZa07+7y5rkdNu+ZzXw8Z6z73vLNfT+415pp3PmvM/rfJd43Rwmrivme4792TgAWlwGvU83le5ydvncL0njW/1989OcQHZ0fPs8ZzX3u+a8zEUthDQS389bMHULG0c9kW7RQ3OuC/v3KCg4naVAvlfNY+RjVjPPrww3ztnnuorqmZOakwL0QECYvG+QRQ8p7byPz45DxomL9YdBFBi8bg0CAej2ellyEIwjxZzpTNzrM2fnH4eW7d0oLf71/0+ePxOPcff5EvXHYFW7eJJbCwMI4MBfjG87/mR79fxI7yZgD0j6ewPfoU7/2r9eAzBcR/ff5jnjvYwyv3fnrZ1pYUTe91e/nO737Gi396NZXuqpRg0ro/hPvg4T+8injANAlRwIneq/h/f/ZLqgjy8MMPcc89X6OisnLZ1n0xc3EmvQvLTj4RoGT0Zy41PpqmmeMlarFo9Pf341uCmxlBEC4+rDbTZSsWi63wSgTh/Kzzr8dj89Da25raZlTvBEA/uye1bUuVh86REMOTkWVbm5ZoYO60mTHqmIpgtejYkl9W8z7HZtVw2Cw4bBacNgsWq5WXI2spLq8iHA7z0EMPMjAwsGzrvpgRESQsmHxT4JIyRpF/OlxyvKTDLQ6TkxOMB4MUFxWt9FIEQVgFJFPgotHoCq9EEM6PRbewo7yZtr629EZ3GaqoEa0zLYy2JMwRDnUFl3uJ2HTzZypi5PczFYkZxLCw64ZbqaioZGpqiocefICRkZElXOWlgaTDCQsiHo/z5JOPc+zjY+gWnZtvu4Wy2jJGw6MojFTOtKEMxsNRYtYJYmhMxKbonujKaPBpthxVgKES7U2VYsI2woSuE4tN8vHwx4mxKmvu9LEq0dzUHGMkx2bMnXqe2I9KH5dsT2ooI92YFCPduHTWY43s/ak1zj7WbOKaY+5pxyavMzmWjLWqGY+JdSTOQyK3OfPYkdEROko6iESilJ4txWvzpr+sHjw2Ly6LSyJvgiAAaREUExEkrBJaAi38j/1/RzgeTjmxGdU70Tv3EE+MqSsqwO2wcLBrjE+sLVnW9TksCREUD+c1PhwzV11Y4OQrd9/N/b/6JQMDAzz4wAN845vfpLCwcMnWerEjIkiYN/F4nCce/BnHT/cSJ86bJW/y8L6HYd85DloLYOFXZ1/gV2dfOP9JKgEc0L+Prz331UVZ91KiQcr7Lv2YjHyZr/WMuJaeMH2YPj7pKqOhpeqhtNT45Nj8x4OGDoTDYSKOKO8N9DPaFyKkZt7YWDUrHpsXr82D15oWSZ4sweTFY/OkXjt0hwgnQbgIcTgSdr4igoRVQkt5CxEjwkcDH9ISMFPhjOoWrIceh+gk2ArQdY0tlV4OdI8t+/rmHgkyq4bsVp2CAhd3f/UefvnLXzAyMsxDDz7A177+DVwu15Kt92JGRJAwLwzD4KFHH+N0QgDZCn/HvwqehmDi5jsxTgN0lUyFU+jK4K/KC/nEZJQbJ6LpMcnxynyeEg9GlL8rdVMQ1/hfRsxPTZL7ASyotKBIHJ85JvPLXIeasV1TaevNzG369OvIscbkuTJfpw44B3OVC9oczSRmIxqN4iSMFTO/P6RpjOg6w1Ybgy4/Qw4Pw3YXw9gZNuKMREcYCQ3RQ4xRI8xobJyomlkbYNfteKwJ4WTzMuGYoCxUxuiRUSrcFVS6K6koqMTv8ItYEoRVhNVqxWKxEI4sX+2EICyENf61+Ox+WntbUyJI1VyJZsTQuvej6q4BzJS4lw73Lfv6kpGgaDy/n6lkJMhhNe9CPB4P9ySEUH9/Pw8/9BBfveee1AcWQv6ICBLmhaZp6PYCUAbvBN5hY+UfcMyxM51GlrCLNFLPFZGYwft7Xsda/vcM+m7md9V/mEjdIiMtLP3cUBA68FsKjZ9z1r2L+/3/OjUnM+ZPn9eYPlfG2JnHJR5TaXtp+1Bj2lrIeJ5e78xrZZZ1zbbe5HmZtgYjac2pEtumzZXcPncUXiYp1UaptgZpcAaptQSpjAcJhEbZFBrFZ4zgjg3jjAxhyQjZK2BStzLkKmLI5WPQ4WHYXsCwxcGwbmUEnZFomBE1wrHoEPs+fJ9wPJQ63mFxEChIiqIKKtwVVGS8Li8IYLdI/yJBuJBwOp1ERQQJqwRd09lRvoPWvr3AHwOgyjah7G70s3uJJ0TQ5kovP327g9GpKD6XbdnWl4wEhfMWQaZddlIEAfiLirj7q/fwq1/+ku7uLh5/7FG+/JW7sVrltn4uyLslzAtN09jU8knih39GT0EP//v2Kq6tWXvOY0LROF/b8zoAO+uL+f2rN573PN8//hwhYFuVj7/+9LbFWPpFSUoo5RSTpnCKx+P88G//ls07rsRd0sDARIyBySiDEzHemYxlvY7EU10OcBOiwTlOk2OcOnuQaluQCn2UEm2UteFRCieGKYgOYw8Poccms9ZlOP0MFdXR7a2g2+2n2+6iW4duFebYyMe82fUGg6HBrGNKnKVm9KigMiWSzEfztc/uk2iSICwjTqdTIkHCqqIl0MIP3/8bQrEpnFYX6BZUVTNa597UmJQ5QvcYu5qWry4oFQky5iqCsjtcl5WVcffdd/PAA/fT0dHBk08+wR133InFcpF2wl4CRAQJ80bXNexMAdndkGcj0x0u35tYDTAQd7jzoWkalvOkzMXjGg4tzuiZY8RHerADVYkvHImvYlNAhQyNYFQnGNMZi+kEo256Yx6Oh6oIjuupfUbG+TQUpdYQddYRSqM9bPNOsqtKo8roYd14J1u7DqAFu1LjldWJ8tUx5V9Pj6+CbpePHrvDFEnGFL1T/Xw8cpSeiR4iGX8snBZnlkgKJB5T0SRXOTbL8n2qJwgXO66CAsKh0PkHCsIFQktgJzEjxgcDH3JVxVWAaY5g2fcz84+cptFQUkCB3TRHWE4RZLMkI0H5GSNE40biuJl/3yurqrjrS1/m4Yce5PixYzzzzNN84Qu3ygeFeSIiSJg3yR4+AHoebuvJH0pT1OR5DqRP0GKh6zq7dl1DZ+dZjHj8nGMdgMMGpefQEkrBRFwjGLMQjOkZX35OWoo5rDz87eEosUTOXqHDyoYSKy2+Mba4Bllj6aci3oMvdJbG9ndoGjmNligUVWjgrUYVNRD3X8WQr4pul5dum50uXdEbHqZnsocjw0d47exrDIeHU+vS0Ch1lVLpriRQkI4kJeuSKtwVeGwe+Z4ShDwpKCggOLb8BeSCMF+avE0UOYpo7d2bEkGqZifaW/832vBJVPEaLLrGpgoPB5fZJtuuJyNB+RkjhGMGdqs+69+s+vp67rjjTh577FEOHjiAp9DDdZ/5zKKt92JGRJAwbzRIiaB8QkHJIXNrlgpKk0jQYqBpGtded92ynjMaNzgzPMXJ/glODkxwamCC9/odPHCqgLFQJbAdi65RW+SiqcbJ5d4JNrsGadT7qIj34Bw/jaXnQ8qP/JpAOMjliXmVqwRV1GB+lexm0ldDj8tLt91GTzxMz2SP+TXRzeGhQ/RM9hAz0oYOBdYCKmapS6pwV1DmKsOqSzRJEADcBW76+/tXehmCkDeaptFc3kJbX0bT1KoWc19nK6rY7GW4pcrL68eWt/GopmnYdFvekaBw1MiqB8rF2nXruPmWW3jm6ad59913cBe62bnzysVY7kWNiCBh3ugZuiQfkZJOh9Pm9Cm8RIJWLzaLTlOpm6ZSd9Z2pRRDExFODkxwcmAyJZIePqHTOVKIUoVAE8Xua83j1xSw2R9jk2OAer2P4kgXlpF2tOF29I438Y734gXWA8pWgPLXmwLJ34Cqupq4v47BgmJ6LBo9oQG6J7oTIqmHg4MHefn0S4xGRlPr0zWdMld5lkiaXqdUaPcs63spCCuFu9BNaGpqpZchCHOiJdDCf2v7b0xGJymwFYDLj1G6Af3sHoxtdwOmCLrv3dMEQ1E8zuX74MtucRCN5x8JOp8IAti+/TImxif43e9e4+WXXqLQXcimzZsXutSLGhFBwrwx0+HMWJCeVyQoYZQ9h8iOriVEk0SCLio0TaOk0EFJoYOdDcVZ+0LROO2Dk6ZA6jejRwe6g/zmowmmogZQit1aTkPxNTSWuWna4madX2ODc4g61YNr4jTacEIgHXsORs9gM2JUA1WaBXy1aYFU1IQKfBZV1MBEYRm90XF6JnuyRFLPZA8fDXxI72Qf8Qx7cLetkMpppg0VGSKp1FWKVZdfscLqp7CwkKmpKQzDQNfPfzMmCBcCLYEW4irGBwP72VVpOsKp6ha0znR0KGmOcLg7yJWNxTnnWQrsuo2wkV8kKBI3sFvy+7m7etcuguNB9rW18dvf/gZXQQENDQ0LWOnFjfyFFuZNMlUN8hM1+jzS4dAkEnSp4bRZ2FjhYWNFdqTFMBQ9Y6FEWl1aJD22r5O+YPKPiYMK71aaSq+iqcxNU5ObNcUO1jpGKIt1oSWiR9pwO1rnXvQDj6BFJwCwA353OetTAqkBVbQNVftFszbJWcRgeIieyW66J8xUu2Ta3YcDH/B8x3MEo+nccotmobwgEU1KiqWMuqSKggrctuwImSBciBQWmj+LU1NTuN3yPSusDuo9DZQ4S2ntbU2JIKPmSqwf3A/hIDg8NJYU4LTpHOwaW14RZLHPIRIUx55HJAjMe6Xdu29gYmKCo0eO8Phjj/L1b3yTQCCwkOVetCypCPrBD37A448/zpEjR3C5XFxzzTX8l//yX9iwYUNqTCgU4s///M958MEHCYfD3HTTTfz93/+9/IOtArRzvMo5PhkJIr/IUXLWOYkm4aJF1zWq/C6q/C4+Oc2NfTwU4+RgOnJ0cmCCd08O8VDrWaIJu+8Cu4XG0k00lbaYKXabCmgqKaDBOYFj/ExCHJ1KCKVT6CdfQZtM54oreyHV/gaqihoz6pGuQa1tAG816BbGo+P0TvbSM2FGk3onu1PRpPf736d/qp+4SptSeO1eKgoqCOSoS6ooqKTUVYquySfvwsri8ZgiaHJyUkSQsGrQNI2WQAutGXVBqnqn2TS9qw3VeB1Wi86mCg8HupfX+MOu2/OuCYrkmQ6XRNd1br31i0xOTnLm9GkefuhBvvmtb+P3++e52ouXJRVBv/vd7/iTP/kTdu7cSSwW49/9u3/HjTfeyKFDh1K/SP/sz/6Mp59+mkceeQSfz8d3vvMd7rzzTt56662lXJqwCGS5w82xxifvcyTc4eYyv3DpUei0sr3ax/ZqX9b2WNzg7MhUQhwlokcDE7xxbICRKfNTOF2DmiIXTaVraSq9jKZqN42XmXVMxdZwRvTolPk40o5++CkYO4umTOtSpdtQ/lqK/I34ixrS0aSqG1D+erC5zPUYMQamBlKmDemUu2729e2jZ6KbidhEav1W3UrAFZhFJJmRJZfVtUzvsnCp4vWaKUOTExNQVrbCqxGE/Gkub+al0y8yHh2n0FaIKlmLcvrNpqmN1wFmStzbJ4aWdV02i31O7nBzEUEAVquVu+76Er/65S/o7+/n4Yce5Bvf/BYFBQXzWe5Fy5KKoOeeey7r9c9+9jPKy8tpa2vj05/+NKOjo/zkJz/h/vvv5/rrrwfgpz/9KZs2beLdd9/l6quvnjFnOBwmHE6r5zGx7VwxdC0taOZW40P+n26nUu5EBAlzx2rRaShx01Ay89PrpDHDqURa3cmBCV460sfZd6ZIuHrjd9loLHXTVNZEU+lWmprcNJW5qfG7sBJDGz0DyfS6kYRI6ngL/YP70WLpQnJVWIEqasBa1JgdTQpcDa6irHWNR4I565LOjp+lra+V/ql+jIT4AvDZ/Tkd7pIiqdhZLNEkYUE4nU5sNhvjExPnHywIFxAtgZ3EVZz9fe/zyepPgaZjVLegd+4lGZPfXOnlV3vOMB6OUehYnioRhyX/SJApgubeANXpdPKVu7/KL+77OUNDQzz26CPc87WvY7VKJUySZX0nRkdN96XiYjPvsq2tjWg0yu7du1NjNm7cSF1dHe+8805OEfSDH/yAv/iLv1ieBQvnIaNRZr7pbYnoUf59gubWV0gQ8qXYbafYbaelPluEhKNxOoYms2qPjvYEefZAD5MR88+mzaJRX1xg1h2V1plpdpvcNJW4KXRaQRkw3puKHGlDp0yR1H8E/dhzaFPpvkbK6cuoQWrE62/AU9TA2qI1UPVJmCZgYkaU/ql+UyQlBFJSLO3peY/uyW6mMgSYTbcRKAikRFFlssFshlhyWp1L+E4Lqx1N0/D6fEyMj6/0UgRhTtQW1lLuKqe1r9UUQZgpcfp7PzJ/T2s6W6q8KAVHuoO0NBSdZ8bFwabnHwmKJPoEzQePx8PdX/0qv7jvPjo7O3n6t7/hi7fdLnXWCZZNBBmGwZ/+6Z/yiU98gq1btwLQ09OD3W6fkacYCATo6enJOc/3vvc97r333tTrsbExamtrl2zdwuxkGSPk+UmzBhha/m5vpmjS5JNsYdlw2CysD3hYH8g2ZlBK0RcMp6JGSWOGJ/d30TOW/kSv3OOgsbTArDsqq6KpdB1NdW4qvE70pDtIaDQrvS75XO9shbEukommyuJA+esSbnaNUNSAXtRAlb+RyuKtUN48Y/1KKYLRYKouqSejLqljrJ33et5lYGog5ewIUOQoyooeZT5WuispchTJH81LHL/Pz7iIIGGVoWkazYFp/YJqdmJ9fQxt4GNU2UbWlLmxW3UOdo8tmwhyWOxE4pG8xoYXIIIASkpKuePOu3jowQc4fPgw/qIirr32unnPdzGxbCLoT/7kTzhw4ABvvvnmguZxOBw4HI5FWpWwEMzUNvNGai63R3NxexNjBOFCQdM0Al4nAa+TXWtKsvaNh2OmrXeGQGo7PcJj73cRiZmpay6bbqbWlboTKXYVNJWuoWFdAU5bRqpDLIQ2ciaVXkci1U4/9Sra+x1oiT+cCg281WmTBn/asMHrb8RbtJ71RetzXks0HqVvqi8r5a53spvuiW7e6X6bnokeQvFQarxdt+cQSekUvPKCAA6L/F6+mPEX+Tl+TBqmCquPlvIW070zEsRj96CqdqA0He3sHlTZRmwWnY2BQg52LV95hU23EzHyE0GRmIHHubDb9fr6em6++Raefvq3vPP22xQVFbF9+2ULmvNiYFlE0He+8x1++9vf8vrrr1NTU5PaXlFRQSQSYWRkJCsa1NvbS0VFxXIsTVgAGtqca4KS4ifv8czNSEEQVoJCh5WtVV62JnpOJIkbiq6RqVTUKCmQ3j45yNCEmQqhaVDtd6WayppRpBKaKuooWXND9gcGRhyC3Rkudomvng/RD/8aLZz+I65cxRn9kBoznjdgK6ygurCa6sLqnNejlGI0MjrNvMGMLJ0YPcFbXW8xGMrusl7iLCGQoy6p0m1agvvsfokmrWKKiooIBoPSK0hYdTQHWjCUwb6+fVxbcy3YC1HlW9A7WzGu+BZgmiO0dgyfZ6bFw6wJyjcSFKfUal/wObdt387wyDBvv/UWzz37LF6v75LvIbSkIkgpxXe/+12eeOIJXnvtNRobG7P2Nzc3Y7PZePnll7nrrrsAOHr0KKdPn2bXrl1LuTRhEci8n5lTOhxziBxp2tyMFAThAsKia9QWF1BbXMC167NdtYYnI1n9jk4OTPDax/384r0p4glnBq/Tmkirc6eiSE1lRdTWVmFr+FT2yZSCqeGs9LqU3ffpt9HG0ynGyupC+euzo0jFjSh/A/hq0Sw2/A4/foefjcWbcl5bJB6hN0MgpcwcJno4NnKM3smerMJfh8WZEEUZ0aRkZMldQcAVwGZZvo7twtwoLirGMAwmJycpLCxc6eUIQt5Uu6upKKigtW+vKYJIWGW3v54as6XKy0OtZ5mMxCiwL318wKbbCUaC5x/IwmqCpvOpT32akeFhDh06xBOPP8Y3v/VtSktLF2Xu1ciS/kv/yZ/8Cffffz9PPfUUHo8nVefj8/lwuVz4fD7+4A/+gHvvvZfi4mK8Xi/f/e532bVrV05TBOHCQluAO1zeokkDQ5N0OOHio6jATlGdnR11/qztkZjBmeHs1LrjfeO8cKiP8XAMAKuuUZcyZnCna5BKPXirdqCqdsw8YXQSbeR0Ooo0lHg89jza6Bk0w5xbaRbw1WSYNWSn2mE3b4DtFju1njpqPXU5r08pxUh4ZEZdUvdENx8PH+X1s79jKJy2pdXQKHGVUJnRTDbgrsx67bV7JZq0QiQNjcZGR0UECasKs1/QTtp6M+uCWrDt+2eYHIKCYrZUeTEUHOkZn/E7eSlwWOxEltAiezY0TeOWz3+BsbExzp49yyMPP8S3vv1t3O5L82d6SUXQj3/8YwCuu+66rO0//elP+b3f+z0AfvjDH6LrOnfddVdWs1ThwkdDSxkj5N3HRwOl5S9pkuPkvke4VLBbddaUFbKmLPuPklKK/vFIljg61T/B0x910zmSrt8pLbSn644SUaSmUjdVPhd62UZU2caZJzViMNY5rWFsO1pnG/rBR9EiaWtkVVCWIY4yUu2KGqGgNPXDqmkaRc4iipxFbC7ZnPNaQ7GQ2Vw2q2+S+Xhk6Ag9kz1ZDkouqyuVYheYnnJXUEl5QRlWXaJJS4HX58NisTA6NkZVde40SkG4UGkpb+HpU79lNDyKz+HDqL4SAL2rFWPtjawtK8Rm0TjUPbYsIshmsROZg0X2YkWCwOwhdOddX+K+n/+ckZFhHnv0Ue752tex2S69351Lng53PpxOJz/60Y/40Y9+tJRLEZaArHS4PGVN2khhrsYIkg4nXNpomka5x0G5x8HVTcVZ+yYjMToGM1PrJvng7ChP7u8inDBmcFjTxgxNpQWpFLuGkgIz/cNfb6bINV6bfWKlYHIguxdSsmnsqd+hTfSlh9rdWVGjTJGEtxr07D85TquTem899d76nNdsKIOh0FBWXVJSJB0eOsSrZ19hJDySfo/QKHOV5TRvSKbeFdoKJZo0D3Rdp7i4mNGRkZVeiiDMmZZACwrFvr42PlN7vfn7rqAM7exeWHsjdqvO+oBn2cwRHHr+kaDIPPsEnYuCggK+8pWvcN99P6erq4tnn3maW7942yX3u1E6JgnzRte0tM1unj84yYhRvpEjTQNDkuEE4ZwU2K1sqvSyqTLbmMEwFF2joay6o1MDE+xpH2JgPF2UW+VzmtGjMnfKoKGpzE1Zod38o+guQ7nLUDU7Z548HEQb6ZghkvQjv4HRs2jK7K2kdCvKVwtFjTlS7erBNrOTua7plLpKKXWVsrVka85rn4pNZdUmZfZPOjh0kN7JHmKJVD8At9WdqkNK1iVVZrwudZVh1eVPYy5Ky8oYHBg4/0BBuMCocFdSXVhDa1+rKYI0DaNmZ1bT1K1VXvafGVmW9cwlEhSJL146XCbFJSUp6+xDhw5RXh7g6kusHl9+0wvzJtO5Tc8zUqNp6SqifM8yF0ttQRDS6LpGTZGLmiIXn16XXfw6NhXlVLLfUcKg4a3jgzyw5wyxhDFDocOaiho1Zdh71xUXpNMzHB5UYCsqkEOkxKMweibDyS6RanfmHfQPH0DLaOqqCgMZUaSMR38DuIpm/aDFZXXR4G2kwduYc7+hDAanBs26pIRYSlqDfzTwES9NvshoZDQ13qJZEtGkCioKKrPMG5LRpULbpZk/X1ZWxonjx1FKye9kYdXRXN5Ma0ZdkKrZif7GfzPTgXUrmys9PLqvk1A0nt22YAlwWPJvlhqOGdgtS5MNU19fz+4bbuCF55/ntddepbSsjLVr1y7JuS5ERAQJ8ybbHS7PY+bYVyg5r6TDCcLi4nXZuKzWz2W1/qzt0bjBmeGprMjRyf4JXjnSz1jIjKhYdI3aIteMuqOmUjf+goy8cosNiptQxU0zre6VgonedHrd8Cnza/Bj9OMvoE2lTROUwzvDoCGZaoe3Cs5htKJrOmUFZZQVlLGN7TnHTEQnzNqkhDhKiqTeiR4+HPiA3sk+4iodTfLYPFmiqKKgMisFr9RZikVf2puolaCsrJxIJMLk5CRut3ullyMIc6KlvIVfn3yK4dAwRc4ijOqdWKOTaH2HUBXb2VLlJW4ojvYEZ/xeXGxsuj3LPfNchGMGDtvS3QPt2NFMX18f+99/n18/9STf+vbvXTKOcSKChHmjaWljhLlaHeRrea2RcIeTDx0FYVmwWfSUoMlEKcXQRCQdOUqIpOcP9dI5MkWyBLTYbUun1GUaM/hdWPRpn5wUVqAKK1C1OdxAQ2PTapDM53pXm2nikJBVymJH+erS5gypVLtGlL8OrM7zXrPb5qbJ10STrynn/rgRZyA0kJVy15twvNvfv5/uiWcZj46nxls0K4GC8oTDXUZNUkaz2YIc6X8XOuXl5QAMDw+LCBJWHS0BM523ra+N3XW7URWXoXQb2tm9qIrtrC8vxKprHOxeehFk1+1E4+ePBCmlEjVBS/tB8A033MjAwABnz5zhsUcf4dvf/j2cLteSnvNCQESQMG8y0+HytbxGn2MkKJkOJ1VBgrCiaJpGSaGDkkIHOxuyjRlC0TjtGcYMpwYmONA1xm8+7GYqahoz2K06DcUFM+qOGksKcDty/Clyes2blIocXc1jYbTR02jD7ZDZD+nU79BG7kNLfMKq0MBblVGD1Jj1HKcvr2u36BYCBQECBQEuI3eX9fFIkJ5Mp7uUYOri/b599E31YSgjNd5n9810uEvVKVVS4iq54Pqjeb1eHA4nQ0NDWY3PBWE1UF5QTp2njra+veyu2w02F6piO3rnHoyWP8Bhs7CuvHBZzBHsFjth4/yRoEgs/ftzKbFYLNx555387Gc/Y3h4mCeffJKv3H33Rd8YWUSQMG/m4w6n5Xh2vgPMZqkiggThQsVps7CxwsPGCk/WdsNQ9AbDWbbeJ/sneGxfJ33B9A1AhdcxI62uqcxNuceRu/bE6kCVrEOVrJu5TxkQ7EEbPpnVMFbrPYB+9LdooXT9j3IVpUVRZqpdUSMUBs6ZZjedQruHtXYPa/258+ljRoyBqf4ZdUk9kz209bXRM9HNRCxtRW7VraZIymHekHx0Wpf3k1pN0whUBBgaGjr/YEG4AGkub8mqCzKqW7Acey71ekuVl0PdyyOCYkYMQxnn/LAjEk+IoCWqCcqkoMDNXXd9iV/+4j7a20/x6iuv8Nndu5f8vCuJiCBh3pjucCb5SpRkNsxc3OEU2hzOIAjChYKua1T6nFT6nHxibUnWvvFQjJOD6cjRyYEJ3j05xEOtZ4nGzd8sBXbLtJ5HZlPYhhL37J+MaroZ/fFWoeo/OXP/1HCi/qg9y7BBP/MuWrA7NUxZnaZleCqClLD6LmowXe4s9jm9F1bdmjBYqISymfuVUoxHx2fUJfVM9HBm/Ax7e/fQP9WfduQE/A5/KsWuMtFcNimSKgsqKXIWLXo0qbKikgMHPlrUOQVhuWgub+GJE48zMDVAqasUVXMl2t7/F8Z7oTDA5ioPT33QRWSRe/NMx66bvz8i8QjOc6TsZrY4WA4CgQCf/8IXePKJJ9i7dw9l5eVs3567lvJiQESQsCBSfX/y/EOrtPn2CRIRJAgXE4VOK9urfWyvzk5Ji8UNzo5McSqj7ujkwARvHBtgZMrModc1qClyZafVJZ4Xu88jTlxFZgSoasfMfdEptJHT2bVIw6fQjr+ANnIGLeHmpDQdvDUZBg0Zjnb+BnB4Zs59HjRNw2P34LF7WFe0PueYmBGlb7KfnsnuLJHUO9nDuz3v0jPZw1SG455dtxMoCGSYN6TrksyGswEcFsec1llRWcF7773L1NQUrkugZkC4uGgJNANmXdBN9TdhVJt1QnpnK8aGz7O10ks0rjjaG2RbdX7psvPBnvgQJWpEcZKPCFo+o5WNGzdxzSf6ePutt3j+uWcpLyujorJy2c6/nIgIEuZNtjvc3NLh5uIOpzRJhxOESwWrRaehxIz2fGZDdsgkacxwKqPv0UtH+jj7zhQJV2/8BbaM6FFBSiTV+F1Yz5dSYnOhyjagyjbM3GfETUOG6U1ju99HP/Q4WiRtjKAKSnMIpITdt7ts3k4vVt1GVWEVVYVVOfcrpRiLjE1zuDMfT42d5J2etxmYyu7zU+woNsVRlnlD0syhEr/Dn/X7vbLSPPfg4KDUBQmrjlJXGQ3eBtr6Wrmp/qZE1Lga7ewe2PB5NlR4sOgah7qXRwRF4pFzjlvuSFCST33q0/T29nLi+HGeeOJxfu/3/8VF+aGHiCBh3ujzcIdL/jHNN3KkoWHMYX5BEC5eit12it12WuqLsraHo3E6hibN6FEicnS0J8izB3qYjJitEG0WjfridM+jxmQNUombQmcefwp1C/jrUP46FJ/O3qcUTA6m648yUu309tfRJvrSQ23uaQIpox+SrwYW0KhV0zR8Dh8+h48NRTmEHOZNV99Un2nckFGX1DPRzVtdb9Ez2UM4HkqNd1gcBArSDneBggBdxV280fU6Tc7cbnrnEnnTf5cbhkGXq4v9Y/sZ7hw+59hcc+cak+vsuT6om3lsjjE5j8sx/7StuT8YnN/8Oa8x3/lnrCvXUfm8NzMPzve4/M6Z73uTx/t1nvdmnX8973S/zYnREwBYKreidb5NbPQEGhp1gTHePXuYnesieX8v5ffep1+PhEcAaB87xWSiFlCb7MVmtRKd6oPgGQDOBCfQbIOMRHs4O56uGVyO9/6q3VfT19/L6OgoT/36Se7+ylcvuv5gIoKEeZPVLDXvH4y5usPN9QhBEC41HDYL6wMe1gey09CUUvTlMGZ4cn8XPWNpY4ZyjyMjra4glWZX4XWi63n87tE0cJei3KWo6paZ+yPjaCMdGf2QTJGkH33abCarTKGmdCv4arMFUtKwwV8P9oXbUtstdmoKa6gpzB3FUUoxGhnJNm9ION0dGznGm11vMOgd5O3Q23BowcsxCcDbp9+G04s0nyDkwd3PfDn9wgYkX/vhjSl445mlX8P/8sofZW+orYJ3/4+sTYVr4d+2siL4CnxcP3Y97SdP8dZbb/LJT35qZRayRIgIEuaNppFRoptvOtzcaoKSwyQdThCEuaJpGgGvk4DXya4104wZwjHaByezUutaO4Z5dF9nypbWZdNTtUaNGe51DSUFc+soby9ElW9BlW+ZuS8ehbGzaYGUNGs48x76Rw+hRSdTQ5W7HFXUlBFBSoskXMWL0lBN0zT8jiL8jiI2Fm/KOeb1t37Hm++9wW233z7DQlepGW1x0/tmtswlHo/z+GOPccONN7Jx46ZzjmXatlynynVczm0zDs73uPmdL9dip4/LecV5HJfr6NzH5Trq/MflfG/ymD+/932W+Rfx33r6waORUf717/5X/mjrH7Gr8hq0gaNYnv7XxG75IapsI88d6OUX753mZ99uzkqhzed9N093/nWdHD3Jf279Af/nlf+RGk/iA4nB49ievZfozX+DKl4DwJGeMf5/zx7lv9y5lUqfM+f8ud+HHCud5/f8A6/dT1V7FW++8QZVlVU0rVmTY/bViYggYd5khkXzT4ebeez5zmGgSTqcIAiLSqHDytYqL1urvFnb44aia2QqFTVKRpDePjnI0IRpjKBpUO1PGzM0ZtQelbjtc0sZsdggWTPEZ7L3KQUTfdlW38PtaIPH0I+/iDY1mB7q8CQiSI0z6pHwVJnpfItEY10Tb7/+FvHxOP4S/4LmisfjOA0nPquPElfJ+Q8QhEWgybeG3sk+tpVuh6KN2ON/Rjw4RHzTZcSaRvjJK+BSa9hc5j3/ZPOg0GZGrdf617KlxPxwRDOs2ENhIkUbUQGzH1koOEB8MkZzeQtV/uWvyVFK8R8d36e+tp7omSi//vWv+b3f/338fv+yr2UpEBEkzJt5pcOlmqXOzR1uMT7hFARBOB8WXaO2uIDa4gKuXZ9tzDA8GUnXHfVPcGpwgtc+7ucX700RTzgzeJ3WGY51TWVuaotc2Oba60PToDCAKgygaq+auT8cnFaDZD7Xu983TRwSzVmVxY7y1ZqCaIZZQx2cw6I3F5WVlVgsFvr6+igpEeEirD5aylt4u/st84XFjqq8HO3sXrjyj9lYUYiuwcGuMTZXLo0IsltsAETi526YGlkhY4Qk7WOnGAoPcfV1uzj+0jG6u7t58onH+cY3v4XVuvolxOq/AmHFMI0R5pjelmBONUEa6BIJEgRhhSkqsFNUZ2dHnT9reyRmcGY429L7eN84LxzqYzwcA8Cqa9RlGDMknesaS914Xbb5LcjhQVVsR1Xk6OMRjyTsvtshM9Wu4w30D36JFjPNDxQaeCqzDBoyU+1w+WdMbbVaqayspLe3l02bcqfMCcKFTEughYePPUTPRA8V7gqMmiuxfPQwKEWB3fwg42DXGF9uXprz23XTmj6SsN2fjaQ73FL2LDoXbX37sGgWrgjsYOsd2/jZT/+Znp4eXnzxBW6++ZYVWdNiIiJImDdZwZk8IzXpZql5/kAn6o4uNkcSQRAuHuxWnTVlhawpK8zarpSifzySJY5ODUzw9EfddI6kHdhKC+3TmsKaj1W+PI0ZcmGxo0rWokrWztynDBjvRRs6mdUwVus7iH70abTQSHqo05+RXpdOtVtXUcjbH55EKSW/n4VVx45yU9209rXyhcYvoKpb0N75OxjrBF8NW6q8HOwaW7Lz5xsJWok+QZm09bWyqXgTBbYC8MEXb7udhx58gA/276e+rp7NW3LUOa4iRAQJ8yYrHY58Rc3sRbM5hydFkESCBEFYZWiaRrnHQbnHwdVNxVn7JiMxOgYnM2qPJvng7ChP7u/K6g2SEkalBRnGDG5c9gXcFGm6Gf3xVKLqPzFz/9RIdi+kRKqdfnYPWrALgE8Dn0CHX/3twrKVFXxPxbA88/foz63Mp93CpUc5sL7cz/sv/xvuHP5XKfME+z9cCbqV/ytuEI0r7P9tacRHoaZBdQnGE/8C+1SiV1AifdV23+fNn1HgrrjBrQ6F64fLL4IU8H5lMV+cCGH/b3UAbAA+rbXwumrhuV8/SmVRAUVVjcu+tsVCRJAwbzRNS4mg/P8IJvoE5V0TpIkIEgThoqPAbmVTpZdN02oODEPRNRrKMmY4NTDB3vYh+sfTjRWrfE4zepRKrzMjSGWFczRmyIXLj3Jdgaq8Yua+WAht5DTGwHFeffLn1FVVEaiomPeplDJoa21jy8YtqUasgrActAy8xasT7cS3/2sALG/936jSDRgbvsCZoUl+8d5p/uXVjQQ8jkU/t25E4dQ/E9p0O3HPOnPjWCfWPX9PfMe/AG81AHs7hnnlSB//x7W5+34tJe2REQbOPMQV6+8i7q5Lbf+EoWh/u4PTYQ9PPvcy3/zW763a+qDVuWrhgiDz72z+osaUTfkaKWhgusNJuoUgCJcAuq5RU+SipsjFp9eVZu0bm4qalt4DZuTo5MAEbx0f5IE9Z4gljBkKHdasqFHamKFgceoKrE5U6Xq00vX01o3QGYty/ebPznu6eDzOe22KsqZbKd+2beHrE4Q82XF2A/e/cS9nNt9KVWEVWs8HaIMfE7/yf8EXjvGzd15hffEW7ryietHPbTHipghq+CTxNbcDoPV8AHv+HmPrXagK0x3u/Ug7Dx47yf925fWLvobzsff4Y1jOWtj2ye8Rt2Wn+t5x5Ev8z97t9Pb28dprr7J79w3Lvr7FQESQMG+SpgUAWt41PnN0h0vOP8e1CYIgXGx4XTYuq/VzWa0/a3s0bnBmeCorcnRqYIJXjvQzFjKNGSy6Rm2Ra0bdUVOpG3/B/IwZmpqaeOON14nH41gsK1OzIAjzZUf5DjQ0Wvv28sXC2zBqdmI99DhEJyl0FNBQUsDBrrGlEUG6BYtmJWJEzjkuHDNWzBmura+NDUUbKZwmgAiN4ut+gy9c8VkeeX+Y1r17qa9vYN26dSuyzoUgIkiYN7qmpRprzSW9bU5oGkqbg8gSBEG4xLBZ9JSgyUQpxdBEJB05Soik5w/10jkyleohWey2paNGmcYMfheWcxgzNDQ28uqrr9DX10dlZeVSXqIgLDpeu5cNRRto7W3li023oap3ohkxtO79qLprlsUcIRI/nwiKr4gIUkqxr6+Nz9XfPGOffvJVNBVnza5b2Wk9wt69e3j6t7/lX/zBH+D1Lo2l+FIhIkiYN/NKh9OS6XD5/VCb6XBSEyQIgjBXNE2jpNBBSaGDnQ3ZxgyhaJz2DGOGUwMTHOga4zcfdjMVTdvyNpQUzHCuaywpwO2wUl5ejtvtpquzU0SQsCppLm/hpTMvopSCsk0ouxv97F7iddewpdLLS4f7iBvqnB8GzBe77iB6HovsSMxYEXvsM+Nn6J/qp7l8pke4fuIljLJN4Kvh2usqOHPmND09Pfz610/xta99HV1fPR9aiwgS5k22MUKevyBS6XD5niPpDicIgiAsFk6bhY0VHjZWeLK2G4aiNxjOsvU+2T/BY/s66Qum7XwrvA6aSt3olvW8f2SQd4cPZc2jZnmefJHcpgyDzmgFsSPjvD1yatoY84mafsws+83napax2fs5z/7M49W0RZ9vHakznPc61Iy5Fn4dM881fd/cr2P2tcy2znMdk+v6Zq5p5nuT6987n/WraScx/01NJiweegt6uf0ff4NNlfNXxlpCb73AX314FRPhGKGowa3/z1s4bJY5Xoc67/ftWLHiJ28f44EX3wRgbfwE/wT8q/vf52N9DKXMBs3hmMFnf/hG1r95Pt+32euabX+O90yBUfgulGj82S/GwHgltU/D4FX1LE9wHT/8Ty8D4FYBbtT7OHvmDK+//jrXXXcdqwURQcKCSImgOabD5T/eJO++QoIgCMK80XWNSp+TSp+TT6wtydo3HopxcjAdOTo5MMHhQSc9EyVwMp7X/Nm/+RN/QbRKjn48iX78VPpvw7R60HR9qDbtdfrFzLHJ17n3c479089Dxr5Z15Fjf+bDbOtInWLe16Gddx1zv46Mv9J5riPrOjQt8T7mnjP/a8+9PjL2z/3a0+eKqsvpDWn4S85QZ13DgH4ZVw89xdZKD5G4on1wklKPI5VqOvu15/99m9z3zKiDWred7bXlAFRODsNh2NVYQqM7gKZpvH6sn6GJKJ/fWnHO65jteyU9Nvd7Mts6Xxl+ipFoE3d9YnPWvvKxA5TsH6X0ss/zXf+a1Lle3xNl/dQhDh08yDXXXIPdbmc1ICJIWBTmHAmakztc8pkgCIKwUhQ6rWyv9rG92rfSSxGEReNbz2+m1tPFX12zBe3E57E/dB9/9SknqngN+06PsCHg4d/fsnHRz9v6tJsrKgv58x3rAdB6puAwfHNXHarC3NYzFqJ7JMS9Nyyf6YBSiqd+fZTPrbmRP7yiMWuf5fWHUE4fN9/8RdBNCRGLG/zPN06xvvZyfv/O61aNAALy7XApCLOQEDNzsbw2H/MVTaAyPukRBEEQBEFYLFoCLbT27TVT8KrMGhitsxVgSc0R7BYH0fi5a4JWwh2uc/wsvZO97CjfMWOffuJFjMbPpAQQwN72YQYnItzymU/gKihYzqUuGBFBwoJQWjohbi7j868JMt3hdPlWFQRBEARhkWkub2FgaoCOYAe4/BilG9DP7gFgc6WHwz1BDEOdZ5a5Y9dthOPhc46JxAzstuW9/2nra0ND44qyaSJovBe9ez/G2huzNj97sJeaIhfbqlaXMxyICBIWiXwjO8lvuLm4w4kxgiAIgiAIS8HlZZdj0Sy09prRH1XdkooEba3yMhmJc2pwctHPa7fk6Q5nWX4RtKFoAx57tmmKfvIVFBpGU7pxazRu8PyhXm7eEliVTe1FBAkLIvnZSL6iRs3jZ0TBzMpGQRAEQRCEBeK2udlcvJm2PlP4GDVXovUdgnCQzYnoxqHuxU+JyycStNx9gpL9gXbkssY+/iKqage4S1Pb3js1xMhklFu2VSzbGhcTEUHCopB/etvcmqvqCRtuSYcTBEEQBGEpaAm0sK+vzawLqr4SDYXW1YbPZaOmyLUkdUFmJOh8zVKXtyaoa6KLnskemstbsnfEo+inXsVYe0PW5mcO9FJfXMCmaVb7qwW5sxQWRCpLdo6RmnyNFAAMTYwRBEEQBEFYGprLdzIYGuTU2ClUyRqU049+di+wdOYIdouNSDwfEWRZ9HPPxr5kPVD5FVnbtbPvoYWDGGt2p7ZFYgYvHe7l5q2rMxUORAQJCyT5fZ9vpGaGp/55xyd98OVbVRAEQRCExeeyssuw6lZae/eCpmNUt6B3JkRQpYdD3YtvjmDXHUTOEwmKxAxs1uUTGG19bazzr8drzzY50I+/iHKXoyq2p7a9c3KQ0akYN29dnalwICJIWCAGc+37M9dfInObXxAEQRAEYS64rC62FG+ltS9pjrDTNEdQBluqvIyHY5weXlxzhHwiQZEViAQ157LGPv6imQqXUf/97IFemkrdbAgULtv6FhsRQcICye6efP7hc+srlBJBc1uUIAiCIAhC3iTrggxlYNTsRAuPoQ18zObKhDlCV3BRz2fT7Xmmwy3PrXr3RBddE100B6bVA410oA9+PDMV7kjfqk6FAxFBwkJJprfl6Q7HHI0RmGO6nSAIgiAIwlxpKW9hJDzCydETqKodKE1HO7uHYredKp+TA4tcF+Sw2ImcxyJ7OUVQW98+AC4vy64H0o+/hNJtGI3Xpba9cXyAYGh1p8KBiCBhgai51vjMNb0t2Yx19X7QIAiCIAjCBc620u3YdJvZL8heiCrfgp7oF7QU5gg2i53I+ZqlxpdRBPW2ss6/Dr/Dn7VdP/EiqvZqcKQd4J490Mu6cjfryldvKhyICBIWzBwjO6n0ubmpmrmOFwRBEARByBen1cm20u3ZdUFn9wCwudLLoe4xlFo8cwS7fu5mqUops1nqMomgff37ZvYHik6id7yJsTadCheKxnn5SN+qjwLBEoug119/nVtvvZWqqio0TePJJ5/M2q+U4vvf/z6VlZW4XC52797NsWPHlnJJwhIx18jOXEVNvs1YBUEQBEEQ5kNzeXNGXVAL+tBxmBxiS5WHsVCMs8NTi3Yuu+XczVIjMcMctwwiqGeih87xszRPE0F6x5tosRDGmhtT2944NsBkJC4i6HxMTExw2WWX8aMf/Sjn/v/6X/8rf/d3f8c//MM/8N577+F2u7npppsIhUJLuSxhETHmbHmdTIfLb/60pbYgCIIgCMLS0RLYyVhkjGMjxzCqrwRA72plS5VpjnCwe/FS4sxmqbNHgsIJEbQc6XD7+toA2DHNGU4//iLK34AqWZva9syBXjZWeGgqdS/5upaaJX1nb775Zv76r/+aO+64Y8Y+pRR/+7d/y3/4D/+B2267je3bt3PffffR1dU1I2IkXLgkxclc3UHmnt4mMkgQBEEQhKVjW8k2HBaH2S/IX49yl6Od3UtpoYOA18HBRXSIs+tmJGi2FLtIPCmClt4iu62vjTW+tfgdRemNSqGfeMl0hUvc401F4rx6tI9btgaWfE3LwYrlGJ06dYqenh52707nGfp8Pq666ireeeedWY8Lh8OMjY1lfQkrT/6iZp7ucKvYglEQBEEQhAsfu8XO9mRdkKZlN01dZHMEu8UBQMyI5dyfjATZLcsTCZoeBdIGjqKNniG+9obUttc+7mcqalwUqXCwgiKop6cHgEAgW00GAoHUvlz84Ac/wOfzpb5qa2uXdJ3CuUl+fpF3s9Q5i5r51RAJgiAIgiDMlebynbzft4+4EUfV7ETr2gdGjC2VXg4uojmCXbcBEDZy1wUtVzpc32QfZ8bP0Fye3R9IP/4CyupC1X8ite3Zg71sqfJSV1ywpGtaLlZdtfn3vvc9RkdHU19nzpxZ6SVd0ijSLtb5kEqfm2vkSCJBgiAIgiAsMS2BZsaj4xwdPopRvRMtOonWd4gtVV5GJqN0jS5O3XoyEhSN564LShkj2Jb2Vn3WeqATL2E0fAqsTgAmwjF+93E/N2+5OFLhYAVFUEWFGUrr7e3N2t7b25valwuHw4HX6836ElYQbW7VOiqlmMQiWxAEQRCEC4stxVtxWpy09bWiKi5D6Ta0s3vT5giLlBKXigTN4hAXjsaBpY8EtfW10uRtothZnN4YGkU78x7GtFS40EWUCgcrKIIaGxupqKjg5ZdfTm0bGxvjvffeY9euXSu1LGGOKOYoZ+aaDjdPS21BEARBEIS5YrPYuKzscrMuyOZCVWxH79xDucdBWaF98URQMhJkRHLuTxojLHVNUFvfzP5A+slX0VQcY01aBD1zoJft1V5qilxLup7lZEnf2fHxcfbv38/+/fsB0wxh//79nD59Gk3T+NM//VP++q//ml//+td89NFHfOtb36Kqqorbb799KZclLCJzFUHatMd8j5B0OEEQBEEQloOW8hb2971PzIglzBHMBqqLaY5gtyQjQblF0HLUBA1M9XM62EFzYJoIOvESRtkm8NUAMB6K8fqxAW65iKJAsMQiqLW1lSuuuIIrrrgCgHvvvZcrrriC73//+wD8m3/zb/jud7/LH/3RH7Fz507Gx8d57rnncDqdS7ksYZGZWyRoru5wEgkSBEEQBGH5aAm0MBGb4MjQYVTNlWgjHTDey+ZFNEew6+eOBC2HCGrr2wfAFWUZ9UDKQD/xclYq3MtH+4jEDD53kYkg61JOft11153zG0XTNP7yL/+Sv/zLv1zKZQhLiJpjTVCSvN3k5jheEARBEARhIWwq3oTL6qK1r5WtNTcBoHe2sqVqJ0MTUXrHwlT4FvaBvd1iByAyizFCWgQtXZ+gtr5WGrwNlLpKU9u07v1ok/1ZqXDPHujlilo/lQu85guNVecOJ1x4LGUkKG2jICJIEARBEISlx6rbuKLsCtp6W8FbhfJWo53dw9aEOcKBRUiJSxojRGYxRki5wy1hJMjsDzQtFe74iyinD1WzE4CxqShvHh/g5oukQWomIoKEhTHfSFCeR2kJ0STNUgVBEARBWC6ay1vYP7CfmBHFqN6J3rmXgNdBsdvGoe5FEEEJY4SIcW6LbJtlae5/BqYGaB9rn9kf6MSLGI2fAd1MFnv5SB8xQ/G5i8gaO4mIIGFBKBSamqvNQf7pbfO11BYEQRAEQZgvLYGdTMWmODh4CFW9E637A7R4xGyauhiRIMu5I0HhmIHDqi9ZOcD7/WY9UHNmf6DxXvTu/Rhrb0xteuZAL811fgLeiysVDkQECQtkzu5wqXS4PMenHkUECYIgCIKwPGwo2oDbVkhr316Mmp1o8TBa70emQ1x3cMHzJ40RZosEhWPxpTVF6G2jzlNPqasstU0/+QoKDaPpegBGJqO8fWLwonOFSyIiSFgYc22WyvxqgiQdThAEQRCE5cKqW7mi7HLaeltRga0oqxO902ya2h8M0xfMHcHJl/NFgiIxtaQiaF9fW3YUiEQ9UNUOcJtGCS8e7sVQihs3X3ypcCAiSFggczaJnGOz1OQwiQQJgiAIgrCctJTv5IOBD4kAqvJytLOmCAIWnBJn0azomk5kVovs+JKZIgyFhjg5djK7HigeRT/1apY19nMHetnZUESZx7Ek61hpRAQJC2Zu30RzrfFZuBe/IAiCIAjCXGkJtBCOhzg4eACj5kr0s3uo8jrwu2wLFkGapmHT7URmaZYaiRlLJoL2JfoDZTrDaWffQwsHMdbsBmBoIsI7p4a4+SJNhQMRQcIyM9caH5WKHMm3qiAIgiAIy8c6/3o8Ng+tfa2o6ha08R60YFeiLmjh5ggOy+wiyDRGWJoeQW19rdQW1lJeUJ7aph9/EeUuR1VsB+DFw30opbjpIk2FAxFBwgKZc7PUuabDpR4lHU4QBEEQhOXDolvYUd5Ma28rRrXZN0c/u4ctVV4OLYJDnE23nyMdzliymqB9ffty9gcy1t4AiQ+dn/moh6sbiyl225dkDRcCIoKEBTFXd7i0McIcx4sGEgRBEARhmWkub+ajgQ8JO72ooka0zlY2V3roGQszOL4wc4RzRYIi8aURQSPhYU6MHqc5UwSNdKAPfpxKhRsYD7OnfYhbtl28qXAgIkhYBLQ5lO1oOZ7lM16Tb1VBEARBEJaZlsBOIkaEjwY+TDRN3cPWhDnCgQVGg85VExSOGdgti3/vk6seSD/+Ekq3YTReB8Dzh3rRNY3dm8pzzHDxIHeWwoJQmppXn6B80+GSzVKXqlmYIAiCIAjCbKz1r8Vn99PW12r2C+o9QE2hwuu0cmiB/YIcltnT4SLROHbb4t+mt/W1UV1YQ4U7HeXRT7yIqr0aHB7AdIXb1VRMUcHFmwoHIoKEBTLXdDjmaXktEkgQBEEQhOVG13R2lO+gtbcVVb0TzYih93zA5krvgh3ibBY70VmbpS5NOty+vjZ2lGX0B4pOone8ibHWTIXrHQuxt2P4ok+FAxFBwiIwH9OCvI9JRoLkW1UQBEEQhBWgJdDCR4MfMVXUiLK70RP9gg4t0CHOodsJz9YsdQlqgkbCIxwbOUZzIN0fSO94Ey0WwlhzIwAvHOrDqmt8duPFnQoHIoKEBTL3Lj5zS29L1QRJKEgQBEEQhBWgJbCTmBHjg6EDqKpmtM69bKny0DkSYngydzpbPtgsdqLx2SNBi10TtL//fQCay9ORIP34iyh/A6pkLQDPHOjhk2tK8Llsi3ruCxERQcKCmcs3kUqlw+U5nuR4UUGCIAiCICw/Td4mihxFtPbuNc0Rzu5lS6VZP7OQlDi7xU7YyB0JWoo+QW29rVS5q6h0V5kblEI/8ZLpCqdp9IyG2Hd6hM9dxA1SMxERJCwINUdtoqUssvOMBEmzVEEQBEEQVhBN02gub6Gtrw2j5kq0qUHq6cHtsHCoa/7mCHbdTnQ2i+yYgX2R0+HapvUH0gaOoo2eIb72BgCeO9iL3aqz+xJIhQMRQcICmasxQjq9LU93uHkk3AmCIAiCICwmLYEWDg4eZKJ8MwCW7ja2VHo5sIC6ILtuO6dF9mLWBI1Fxjg28nFWfyD9+AsoqwtV/wnATIX71NoSCp3WRTvvhYyIIGHBzKVPUMryes7ucJIOJwiCIAjCytASaCGuYnwwfgqjdAP62T1sqVqYQ5zd4pjdInuRI0Hv972PQmX3BzrxEkbDp8Dq5OzwFB+cHeWWSyQVDkQECQtEMbc+QUrS4QRBEARBWGXUexoocZYmrLJb0Dpb2Vzp5ezwFKNTuc0NzofdsnyRoLa+VioKKqhK1gOFRtHOvIeRSoXrwWHVuW5D2aKd80JH7iyFhaHNLx0u72apKdEkCIIgCIKwMph1Qc209rWadUF9h9hWat6dHJpnNMiuzx4JCsfiiyqC9vW1saO8OVWOoJ98FU3FMdaYIujZA71ct76UQselkQoHIoKEBTLnZqlznV88sgVBEARBuABoCbRwZOgwwcBWNBQNocMU2C0cnGdd0GyRIMNQRONq0dLhgpEgR4ePZtcDnXgJo2wT+Go4PTTJga6xS8YVLomIIGFBzLtPUL7pcInxusSCBEEQBEFYQVoCO4mrOO/HR1FOP9auVjZVeDg4T4e42WqConEDYNEssvf3m/VAKRGkDPQTL6dT4Q704rLpXLe+dFHOt1oQESQsmDmlw6VqfMQYQRAEQRCE1UNtYS3lrnLTKru6Bb1z74LMEWy6PWckKBwzRZDdujj3Pm19bQQKAlQX1gCgde9Hm+xPpcI9c6CH6zaUUWC/dFLhQESQsFA00ObQLGiu7nCpZqmSDicIgiAIwgqiaRrNgRZa+1pR1TvROlvZUllIx9AkwdDczREclnOLoMWKBO3ra2NH2Y50PdDxF1FOH6pmJ6cGJjjcE7ykXOGSiAgSFoRZEzT3pLh8RY02F/9tQRAEQRCEJaS5vIWjw0cZrdiCFh5jR0EfAIe6554SZ9PtRI2Z4iktghZ+mz4eCXJk+AjNgZbUNv3EixiNnwHdyrMHeimwW/j0uksrFQ5EBAkLZD7NUjWVv7BJjZxDtEkQBEEQBGEpaAm0YCiDfVYNpenUjX+E06bPyyHOYbETV3FiRixreySeTIdb+G36/oEPMJSR7g803ovevR9j7Y0APHuwh+s3luG0LU7UaTUhIkhYMHOp11Ha3PoKpQeLCBIEQRAEYWWpdldTUVBB69ABVPkWrN1tbKrwcGAeDnE23Q4wIxoUiS2eCGrrbaXMVUZtYS0A+slXUGgYTddzon+cj3vHuXnLpZcKB3BpVUAtMW0fn+bAqU5AQ9NA1xICIeO5pqVTwcwxpoTQsvaT3paxX884TkObdYyWGJSeR0NPaAhN0xLKd+a5stebea5kv56EgNHM52gacRVFKYPDxz9K9/TRVEYTVYWBQkOhaRCJDIIGRzsPEZsKo1Qy5c082jxt+vjBYA/X9F5DeCq3j74gCIIgCMJyoWkaLYGdiaapO9HaX2dL7R/z1onBOc/lsJgiKBwPU5CxPRyNm/sXQQTt69+X3R/o+Iuoqh3gLuXZPScodFj51NqSBZ9nNSIiaBFp3ft9DoTfw0jd/oOReFQaKRmhktsS240c242EaDHnSFfdGFrGscljtPR5yBivssaSXteM8Ym5po/Pp26n0Hz45t5v5/cm6QAaX/v4v513aEG0gGt7r6UqVsoHez5my5pr8juHIAiCIAjCEtFS3sLTp37L8KbPUbrvn7n8coNf7ZlkPBybU7NRW0IERePZkaDFqgmaiE5wZOgwtzXdZm6IR9FPvUr8qj9BKcUzB3r47MYyHJdgKhyICFpU1lyxm/YzGVEatESUxnxtRlfSz5NpZHrWuGRUJ7FXmREblJZ1fGYKmpa1LT1ncq+eEEXp2dPbM+cwVVEiaqQyZ844nzLXijLP9PKZX9NnjfO1yrtSdTvJtahEwZCOhlLmDK90vcuH9nb+D/dniTgDqZoiTWko0tcaDRn0dEWJxRQOl41bv3DXgv99BEEQBEEQFkpzoBmFotXp4HPADstxlHJxpDtIS0NR3vM4EulwYSOctX2x3OE+6N9PXMVT9UDa2ffQwkGMNbs51jfOif4J/s2N6xd0jtWMiKBFZPfmb7B78zdWehnLyvs/eZlJY4Jv7P73eY1ve+Q/YIm0c9dV30RVXJZzzMjICA/c/ytikQhFRcV87etfx+PxLOayBUEQBEEQ5kWlu4pqdzVtE6e5yV1OzfhH2K1Xc7B7bE4iKB0Jyk75j8QXJxLU1tdGibOUek89kEiFc5ejKrbzzCsn8TqtXLPm0kyFAzFGEBbIXN3hzMjQ7O5wSQE0OjoqAkgQBEEQhAuS5kALrb2tGNUtWLta2RgonHPTVHsyEjRNBKWapVoWdpu+r6+NHeXZ/YGMtTeg0Hj2QA+7N5UvivnCauXSvXJhcdDm6ts2uzucCCBBEARBEFYDLeUtHB89zmDlNrSufWyrLJi7CEpGgoxpkaBFcIebjE5yaOgQzeWJ/kAjHeiDH2OsuYEjPUHaBycvyQapmYgIEhbEnCNBs0SBRAAJgiAIgrBaSDYfbS1wo0UnucbTx8mBCSYjsfMcmcZumT0SpGlgs8y/PciHAx8QV3Gay3cAoB9/CaXbMBqv5dkDvfgLbFzdVDzv+S8GRAQJCyT/xqdAIh0uGxFAgiAIgiCsJgIFAWoLa2mNDqF0G9vVEQwFR3rG857Drs8eCXJY9VQa23xo62ul2FFMg7cRAP3Ei6jaq1H2Qp450MONm8qxLTDdbrVzaV+9sGDmGglS09LhRAAJgiAIgrAaaQm00Na/H1WxnYrRD7FZNA7NoWnq7JGg+ILrgdr6MvoDRSfRO97EWHsDB7uDnBme4uZLPBUORAQJC0Rpid6p+R+RGi8CSBAEQRCE1Upz+U5Ojp2kv3Ib1u421gc8c6oLmq0mKJyIBM2XqdgUBwcP0hwwrbH1jjfRYiGMNTfwzEc9FLttXDkHF7uLlQtCBP3oRz+ioaEBp9PJVVddxZ49e1Z6ScIcmFuwVkNDMRKcFAEkCIIgCMKqpSUhMvZ6itBGOri6LMqBuYigRDpcZLpFdsxYkCnChwMfElexVH8g/fiLKH8DRvEanjvYw42bA1gv8VQ4uABE0EMPPcS9997Lf/yP/5F9+/Zx2WWXcdNNN9HX17fSSxPyYO7GCAauWAH3P/euCCBBEARBEFYtpa4yGrwN7FUTAHzSeZIT/ROEovG8jrfpNiC3CFpIo9S2vlb8Dj9N3iZQCv3ES8TX3sCHnWN0joQueVe4JCveLPVv/uZv+MM//EN+//d/H4B/+Id/4Omnn+af//mf+bf/9t+u8Ormxol+s/uunihk0zTQNQ0t8VzLeJ7czqxjNPSE/bSmaTPGJc+hTzsmMdQcm3H8jO055spnvdPnmqMtAnpUo6XvM4zGp0QACYIgCIKwqmkub2Fv716Ut5pNscPEjUqO9gS5rNZ/3mM1TcOu24nkSIdbSCTI7A9k1gNp/UfQRs9grNnNswd7KSu001IvqXCwwiIoEonQ1tbG9773vdQ2XdfZvXs377zzTs5jwuEw4XA49XpsbG6e7EvJP+/5NW+3P49Z/k9GsUz6UWUV0CjzS0sdkR6bcaxKbtfymCtxbOqYHOtQqGmFPCoxX/b8mcdmrS/jWN0eRAFX3ffpWc+XXE9BzMmn+nbhirsp8rpFAAmCIAiCsKppCbTw2PFH6am6jLLhD7Dqn+VA91heIgjMuqDpkaCF1ASFYlMcGDzAn11xLwD68RdQtgLitdfw7BN7uGlLAIs+f9e5i4kVFUEDAwPE43ECgUDW9kAgwJEjR3Ie84Mf/IC/+Iu/WI7lzZmtZd0cH2hLpYfpCd2S/jKd0ZLbwcxHTG7XEtt1Mver1PbML12ZAiNzvDlHjvEqeU6VcU4yzqlS86TmVNlr1jK2p9YFvFrgYkrTuXW8MzGHyjEHxA03/RPXElduXNoIX//irRSKABIEQRAEYRWTbEba6ivnC8deZnOZg0NdwbyPny0SNF8R9NHAR8SMGM0Z9UBGw6fY3xOmZyzMzVskFS7JiqfDzZXvfe973HvvvanXY2Nj1NbWruCK0txzxR/ztbrdK72MZeXgs/8fJojwR3c+PuuYkeAk9z/3LnE1RZHXbQqg2m3LuEpBEARBEITFp9hZTJNvDXv0KLfGw+wu6uHZLlvex+eKBEVi8Xmnw7X1teGz+2nyrYHQKNrZPcRv+s88c6CHco+DHXX+ec17MbKiIqi0tBSLxUJvb2/W9t7eXioqcitVh8OBw+FYjuXNHVsBquKylV7FshLTbBgqPut1j4yM8MDjv2J0PF0DJBEgQRAEQRAuFlrKW3i7+y2U1clVtuP8XV9R3g5vuUXQ/CNBZj3QDnRNRz/5KpqKE2/czXMvn+TmLQF0SYVLsaLucHa7nebmZl5++eXUNsMwePnll9m1a9cKrkyYC7P9OEkfIEEQBEEQLnZaAi2cHT9Ld+U21oUPETMUR3vzS4lbTGOEUCzER4MfpVPhTryIUbaZ1lE3/cGwuMJNY8Utsu+9917+8R//kZ///OccPnyYP/7jP2ZiYiLlFidc2MxmkS0CSBAEQRCES4Ed5TsA2FNSjX9oPxadvJumLqYxwoHBA0SNqCmClIF+4mWMtbt59kAvlT4nl9X45jznxcyK1wTdfffd9Pf38/3vf5+enh4uv/xynnvuuRlmCcKFy3QRJAJIEARBEIRLBb+jiHX+dey1wO3jPVxdMsWh7vwiQTZ9NhE09z5BbX2t+Ow+1vjXonXvR5scINa0m+cf6uWL2yslFW4aKx4JAvjOd75DR0cH4XCY9957j6uuumqllyTkiSLbbVsEkCAIgiAIlxot5S20TnUCcJOnnQN5RoIclpnpcJH4/NLh9vXt44pkPdDxF1BOH+9F1zAwHuFmSYWbwQUhgoTVS2avIhFAgiAIgiBcijQHdtI12cvZkgZ26Mf5uDdIJGac9zjbLMYIdsvcbtHD8TAfDXzIjjIzNU8/8RJG42d45tAg1X4n26q9c5rvUkBEkLAgkjVBIoAEQRAEQbhU2VG+Aw2N90obaJg8QDSuON4/ft7j7Lqd6CL0CTo4eICIEaE50ALjvejd+4k17eaFQ73cvLUCTZNUuOmICBIWjC1eIAJIEARBEIRLFq/dy/qiDbQ67bhHDlOghfMyR7Bb7IRn1ATF5yyC2vra8Ng8rPWtRT/xMgqNPZZmhiej4go3CytujHAxMTQRYXQqiqaBhoauARnPNU1DA3N/4nlqe2KcpiW2mQemnpvbTRWffJ4510qhx1xUDu1k1BABJAiCIAjCpUtLeQsvtT8DRoyb/N0c7FrDl5vPfUyuSFAkpuYsgvb1tXFF+Q4sugX9xEuoqh08dTxCXbGLzZVyX5YLEUGLyDO//itG+p4HwADQzHSx5BeAkdAr07eraWNnblfnnDfz+NT82szXmXOknmfONX1ubdqYjPVb4i4qRj6JzXCLABIEQRAE4ZKmJdDCr47+kjMuD9e7T/GPXdvPe0xui+w4dlv+IigSj/DhwIf88fY/gXgU/dSrRHb+K158q5d7dtZKKtwsiAhaRAZLgvyCWOq1nlAgGqAnVIcZHEpEcc7zGpL5ilrOMam5FaktufYnv0DLWlOucbnGpFeQdoIzo1gurOhY7IYIIEEQBEEQLmmuKLsCXdPZE1hLS/BjjvSOE40b2M5hcjBdBBmGIhpXczJGODR0kHA8TEt5M9qZd9HCQfY5djI6Ja5w50JE0CLy3Rv+hv8V7ZJS3KOjo+i6LgJIEARBEIRLmkK7h41Fm9gzFeS27g+JxOKc6J9gY8Xs90h2PdsiO2qYnzbPpU9Qa28bhbZC1vnXo7//IMpdzqOdxTSWjrEhUDj/C7rIEWOERUTX9EtKAAH4fD4RQIIgCIIgCEBzeTOtsRGs4WEa9Z7zmiNMjwRFE7bac6kJ2tfXxhVlV5j1QMdfJNq0mxeODHCLuMKdExFBgiAIgiAIgrAItAR20h8do8Nq5UbPaQ51n0cETY8ExZORoPxu0aPxKB8MfMCO8mYY6UAf/JiD7qsIhmKSCnceRAQJgiAIgiAIwiJwednlWDQL75XV8ynnyTlHgiJxMxJkz1MEHRo6RDgeorm8Bf34SyjdxgMDa1hX7mZduaTCnQsRQYIgCIIgCIKwCLhtbjYXb2ZvoY+NsSMc7gkSN9Ss4+2W6ZGguYmgtr5W3FY364vWo594kXjNVTx9bILPbZEo0PkQESQIgiAIgiAIi0RLoIVWNUnxxHGs0XFODkzMOtau24kZMQxlip+51gTt62vj8vIrsMYj6B1v8rH3GibCcUmFywMRQYIgCIIgCIKwSDSXtzAYn6TdZuFy/cQ5U+LsFjsAEcNssZKMBOUjgmJGoh6obAd6x5tosRCPBTezIVDImjL3IlzJxY2IIEEQBEEQBEFYJC4ruxyrbuU9TxHXu9vPKYJselIERc3HhDFCPulwh4cOMxWbojnQgn78ReK+eh445eQWiQLlhYggQRAEQRAEQVgkXFYXW4q3ssdXxlW24+cUQY5ZI0Hn7xPU1tdGgbWAjf4N6MdfpKP4k0xGDEmFyxMRQYIgCIIgCIKwiLQEWmjVozSFD3OkZxRjFnOE2SJB+aTD7etr4/Kyy7ENnUAbO8tvQ1vZUumhvqRgka7i4kZEkCAIgiAIgiAsIi3lLYwYYc7oYaqiZzg1OJlzXCoSpEwRlK87XMyIsb9/PzvKm9GPv4Cyuvins9V8TqJAeSMiSBAEQRAEQRAWkW2l27HpNva6nDTrH8+aEmdLiKBoIh0ulqcxwpHhI0z+/9u79+Aoy7v/4597j0kgB05JCBAISMFACCEBGrGP9IEH9GFqWzt2ylBKDzOONI6A/ij0AE7rUMSetQy2/c0U56etrTPSVp46NgXE8ggkbIgWgRAFEw4JK0IOEJLd7F6/PyIra8JBzeZOdt+vmZ0h93Vn+e5+J9l85rru6+5sU3FmsRxvlatx2Gy1BF26a2pWL76K+EYIAgAAAHpRkitJBcMKVJE+Qp9JOq7DDT2HIO/7y+E6rloOZ1mSy2Fd9/l9Zw8o2ZWsW1NGyTpVoR2hQhWMStOYISyFu1mEIAAAAKCXFWeVyOe2VOSovemZoEAoJK/LIcu6fgiqerdKhcML5XnnX7JMSP+3cSK7wn1EhCAAAACgl5VkzVSzCarFatSphtM9bo5w5ZqgKzNBwU5zw6VwneFOVfsPdl0P9Ha5mlIn6p3OobpzCkvhPgpCEAAAANDLCoYVyOvwqCIpSZOCNaq/0H1zhA/vDhcMheW5wfbYxy4c06XOSyrOnCHH2zv0mjVDRWPSlZOR3PsvIo4RggAAAIBe5nF6NG14oSoHpV1zcwSv0yvp6hBk5HHe4Hog/wF5nUma0hGU1XZO/+/8ZN05haVwHxUhCAAAAIiB4qwSHUhyv3/T1NZu426HW9IHN0sNhMI3vFGqz39AhcML5T2+UwFXqio6b2FXuI+BEAQAAADEQElWiS4qLLenTkdOX+g27nF+aDlcZ/i61wSFwiEdvHJ/oLf/qYOeGZqeO0xZaUmxeQFxjBAEAAAAxMCUoVOV5PCo2mups/GQjIneHMFhOeRyuBQwXTNBwdD1N0Y41lSjS8GLKknNk6OhWs+3TNF/F7AU7uMgBAEAAAAx4Ha6VTi8UBXJyZoUPKJTFy53O8fr8CoQunKfoLA81wlBPn+VvE6vpp4/LSNLu0LTtCCfpXAfByEIAAAAiJGS7NmqSk7WdEeNDvWwOYLb6VbAXL073PVC0AFNGz5NSSde0dueSZowdqwyU70xqz2eEYIAAACAGCnOKtYly2hI8nEdbui+OYLH4YnaIvtay+FC4VDX/YGGT5d1fJdebCtgKdwnQAgCAAAAYiR/aL6SHW6dSG7TqZPvdBv3OD2R3eG6NkboeXe42qZatQZbVaIkOQKt2hmergW3Zsay9LhGCAIAAABixOVwq2jYNFUmJcnb6Ou2OYLH4VEwskX2tTdGqPL75HF4VOB/WxccQ5Q2tkjDBrMU7uMiBAEAAAAxVJwzR1VJSZrYeVhnmtujxjxOjzrCN74myOf3qWD4NHlqd6g8WKg7C3JiXnc8IwQBAAAAMVSSNVOXHZaGJB/Tmx/aHMHj9CgYCUGmxxAUNmEdfLdKM9ImyH2hVrvCRfqvfJbCfRKEIAAAACCGJg2ZpEGWW00p53T01LmoMY/jg5mgwDU2Rnir6S21BFo083KHOuVS59jPaEiKp09qj1eEIAAAACCGXA6Xiobcqqpkty7VHYwa8zg9CkZultpzCKry++R2uDX55BvaH56kz06b0Cd1xzNCEAAAABBjJWPuULU3SSnnojdH8Di96ghddU2Qs/uf5z7/ARUMnaLUk3u12xRpPrvCfWKEIAAAACDGSrI/rXaHpRTXv3W2pSNy3O1wR2aCeloOFzZhVfkPqtgzVK5wh1pHz1V6srtPa49HhCAAAAAgxiZmfEqDLbcupzTo0OnmyHGv0/vB7nCdRh539J/nx5vfVnOgSQXn31NdOFPTp8/s07rjVcxC0IYNG3TbbbcpJSVFGRkZPZ5TX1+vRYsWKSUlRZmZmVq9erU6OztjVRIAAABgC6fDqeK0CTqabHSyrjZy3O1wR3aH6wybbjdL9fl9cjlcmnqiUrtNkeaxFK5XxCwEBQIB3XvvvVq+fHmP46FQSIsWLVIgENBrr72mp59+Wlu3btX69etjVRIAAABgm+LRd6ja61Ww/rXIsatngiR1Ww7n8/s0NW2CRrQ36t2cO5SaxFK43hCzEPTDH/5Qq1atUkFBQY/j//jHP3T48GE988wzmj59uu666y49+uij2rx5swKBwDWft6OjQy0tLVEPAAAAoL8rGfNZBRyW2tr2RY51zQR9sBLq6o0RjDGq8vtUEHSrzXiVN2NBn9Ybz2y7Jmjv3r0qKChQVlZW5NjChQvV0tKiN99885rft3HjRqWnp0ceY8aM6YtyAQAAgE/kloxblGacuuSpk7+1a3OE680EHW85rqaOJuU31Gufmao78kf3ec3xyrYQ1NjYGBWAJEW+bmxsvOb3ffe731Vzc3PkcfLkyZjWCQAAAPQGh+VQYUqu3klu15H6s5IktzN6JujqEFTl98lpOTX3/BGdyfyMBntdfV5zvPpIIWjt2rWyLOu6j6NHj8aqVkmS1+tVWlpa1AMAAAAYCGaPnqNDSR6drf1fSZLX4VXAfDAT5LkqBPnO+jTJm63BJqThhYv6vNZ49pHi5MMPP6yvf/3r1z1n/PjxN/Vc2dnZqqioiDp29uzZyBgAAAAQb0rGL1Kw9hk1+HdIWiy3061AuHsIunI90H+0OlVjcjW7qOfr7PHxfKQQNGLECI0YMaJX/uPS0lJt2LBBfr9fmZldW/2Vl5crLS1N+fn5vfJ/AAAAAP3JhCGfUnrY0ruhGkmSx+FRINwp8/74leVw77Sc0PmO8/rM+Us6MWSBxnlYCtebYnZNUH19vaqrq1VfX69QKKTq6mpVV1fr4sWLkqQFCxYoPz9fS5cu1euvv66XX35ZP/jBD1RWViav1xursgAAAADbWJalfGeWTiU161xruzxOjyTpylzQlfsE+fxVcsih29vPa/DUu2yqNn7FLFKuX79eTz/9dOTroqIiSdKuXbs0d+5cOZ1Obd++XcuXL1dpaakGDRqkZcuW6Uc/+lGsSgIAAABsV5w1U081NOjI0Up5srpCUMCyJH0wE+TzH9A4k6pgOEVTZ82zrdZ4FbOZoK1bt8oY0+0xd+7cyDljx47V3//+d7W1tendd9/VT3/6U7lcTPUBAAAgfv1H/hfVaVl68/j/yOPoWgHV8X4I8rgc718PVKVpLa2qTZ2l5CRWSfU227bIBgAAABJRXmahhoSkuosH5XG6JUnBq0JQXWud3ms/p4WXG+WatNDOUuMW0y4AAABAH7IsS5PCGXrH+a48zuiZIK/LoaqTPjlkqfByQPr05+wsNW4xEwQAAAD0scmpU3XcY9TUfF5S1zVBDktyOSz5/D6N6XDpXNJkedKzbK40PhGCAAAAgD726YmLFLIsHXrrFUldIcjj7PrTvKKhUnMuN6tzPBsixAohCAAAAOhjRZPnaURnSMfPvyFJCliSy2np5MWTuhB4T3PaLyqn5PM2Vxm/CEEAAABAH3O6XLolMEgnQ2cldV0T5HY55Tt7QJaRbukcJNeoQpurjF+EIAAAAMAGY90TdMrVdZvUruVwlnbV79f4DiMzaq70/mYJ6H2EIAAAAMAGk7L/U+H3g07QsuR2WnrdX6nbO1o1dPoim6uLb4QgAAAAwAb5U/5b2Z2dkrqWw3W6WnTJNGlGe1COCZ+1ubr4RggCAAAAbDBuZKY+dbnrtp0By9IFzylZRpoweIrkTbW5uvhGCAIAAABs4HRYyg6PloxRs8OhC446TQoElT2FpXCxRggCAAAAbDJy8GzJsvS22602T51mtV+W9akFdpcV9whBAAAAgE2yx/+XLGN01OtWm7tD00yqzNBb7C4r7hGCAAAAAJuMm3CrPEaqd7tlGaOScf/J1th9gBAEAAAA2CRv+CC5w5YuORyaEAgqdRLXA/UFl90FAAAAAInK6bDkDSXrsiOgkUFLHdkzpUDght/ndrtlMWP0sRGCAAAAAJsEg0F9tuGD2Z+f/+rJm/q+hx7+P/J4PLEqK+6xHA4AAABAQmEmCAAAALCJ2+3WQw+WyTr/VteucO7km/4+fHyEIAAAAMAmlmXJMyhdGlRsdykJheVwAAAAABIKIQgAAABAQiEEAQAAAEgohCAAAAAACYUQBAAAACChEIIAAAAAJBRCEAAAAICEQggCAAAAkFAG/M1SjTGSpNbWVpsrAQAAAGCnK5ngSka4lgEfgq680Anj82yuBAAAAEB/0NraqvT09GuOW+ZGMamfC4fDOnPmjFJTU2VZlt3lxFxLS4vGjBmjkydPKi0tze5yEhI9sB896B/og/3ogf3oQf9AH+zXX3pgjFFra6tycnLkcFz7yp8BPxPkcDg0evRou8voc2lpafyQ24we2I8e9A/0wX70wH70oH+gD/brDz243gzQFWyMAAAAACChEIIAAAAAJBRC0ADj9Xr1yCOPyOv12l1KwqIH9qMH/QN9sB89sB896B/og/0GWg8G/MYIAAAAAPBRMBMEAAAAIKEQggAAAAAkFEIQAAAAgIRCCAIAAACQUAhBAAAAABIKIWgA2bx5s8aNG6ekpCTNnj1bFRUVdpcUtzZu3KiZM2cqNTVVmZmZ+sIXvqCampqoc9rb21VWVqZhw4Zp8ODB+tKXvqSzZ8/aVHH8e+yxx2RZllauXBk5Rg/6xunTp/XVr35Vw4YNU3JysgoKCnTgwIHIuDFG69ev18iRI5WcnKz58+ertrbWxorjSygU0rp165SXl6fk5GRNmDBBjz76qK7e3JUe9L5XX31Vn/vc55STkyPLsvSXv/wlavxm3vPz589ryZIlSktLU0ZGhr71rW/p4sWLffgqBrbr9SAYDGrNmjUqKCjQoEGDlJOTo6997Ws6c+ZM1HPQg0/mRj8HV7v//vtlWZZ++ctfRh3vrz0gBA0Qf/rTn/TQQw/pkUceUVVVlQoLC7Vw4UL5/X67S4tLu3fvVllZmfbt26fy8nIFg0EtWLBAly5dipyzatUqvfjii3r++ee1e/dunTlzRvfcc4+NVcevyspK/eY3v9G0adOijtOD2Ltw4YLmzJkjt9utl156SYcPH9bPfvYzDRkyJHLO448/rieeeEJPPfWU9u/fr0GDBmnhwoVqb2+3sfL4sWnTJm3ZskW//vWvdeTIEW3atEmPP/64nnzyycg59KD3Xbp0SYWFhdq8eXOP4zfzni9ZskRvvvmmysvLtX37dr366qu67777+uolDHjX60FbW5uqqqq0bt06VVVV6YUXXlBNTY3uvvvuqPPowSdzo5+DK7Zt26Z9+/YpJyen21i/7YHBgDBr1ixTVlYW+ToUCpmcnByzceNGG6tKHH6/30gyu3fvNsYY09TUZNxut3n++ecj5xw5csRIMnv37rWrzLjU2tpqJk6caMrLy80dd9xhVqxYYYyhB31lzZo15vbbb7/meDgcNtnZ2eYnP/lJ5FhTU5Pxer3mj3/8Y1+UGPcWLVpkvvnNb0Ydu+eee8ySJUuMMfSgL0gy27Zti3x9M+/54cOHjSRTWVkZOeell14ylmWZ06dP91nt8eLDPehJRUWFkWTq6uqMMfSgt12rB6dOnTKjRo0yhw4dMmPHjjW/+MUvImP9uQfMBA0AgUBAPp9P8+fPjxxzOByaP3++9u7da2NliaO5uVmSNHToUEmSz+dTMBiM6snkyZOVm5tLT3pZWVmZFi1aFPVeS/Sgr/ztb39TSUmJ7r33XmVmZqqoqEi/+93vIuMnTpxQY2NjVB/S09M1e/Zs+tBLbrvtNu3YsUPHjh2TJL3++uvas2eP7rrrLkn0wA43857v3btXGRkZKikpiZwzf/58ORwO7d+/v89rTgTNzc2yLEsZGRmS6EFfCIfDWrp0qVavXq0pU6Z0G+/PPXDZ+r/jppw7d06hUEhZWVlRx7OysnT06FGbqkoc4XBYK1eu1Jw5czR16lRJUmNjozweT+QX7RVZWVlqbGy0ocr49Nxzz6mqqkqVlZXdxuhB3zh+/Li2bNmihx56SN/73vdUWVmpBx98UB6PR8uWLYu81z39fqIPvWPt2rVqaWnR5MmT5XQ6FQqFtGHDBi1ZskSS6IENbuY9b2xsVGZmZtS4y+XS0KFD6UsMtLe3a82aNVq8eLHS0tIk0YO+sGnTJrlcLj344IM9jvfnHhCCgBsoKyvToUOHtGfPHrtLSSgnT57UihUrVF5erqSkJLvLSVjhcFglJSX68Y9/LEkqKirSoUOH9NRTT2nZsmU2V5cY/vznP+vZZ5/VH/7wB02ZMkXV1dVauXKlcnJy6AGgrk0SvvzlL8sYoy1btthdTsLw+Xz61a9+paqqKlmWZXc5HxnL4QaA4cOHy+l0dtv16uzZs8rOzrapqsTwwAMPaPv27dq1a5dGjx4dOZ6dna1AIKCmpqao8+lJ7/H5fPL7/ZoxY4ZcLpdcLpd2796tJ554Qi6XS1lZWfSgD4wcOVL5+flRx2699VbV19dLUuS95vdT7KxevVpr167VV77yFRUUFGjp0qVatWqVNm7cKIke2OFm3vPs7Oxumxd1dnbq/Pnz9KUXXQlAdXV1Ki8vj8wCSfQg1v71r3/J7/crNzc38jldV1enhx9+WOPGjZPUv3tACBoAPB6PiouLtWPHjsixcDisHTt2qLS01MbK4pcxRg888IC2bdumnTt3Ki8vL2q8uLhYbrc7qic1NTWqr6+nJ71k3rx5+ve//63q6urIo6SkREuWLIn8mx7E3pw5c7ptD3/s2DGNHTtWkpSXl6fs7OyoPrS0tGj//v30oZe0tbXJ4Yj+uHY6nQqHw5LogR1u5j0vLS1VU1OTfD5f5JydO3cqHA5r9uzZfV5zPLoSgGpra/XPf/5Tw4YNixqnB7G1dOlSvfHGG1Gf0zk5OVq9erVefvllSf28B7Zuy4Cb9txzzxmv12u2bt1qDh8+bO677z6TkZFhGhsb7S4tLi1fvtykp6ebV155xTQ0NEQebW1tkXPuv/9+k5uba3bu3GkOHDhgSktLTWlpqY1Vx7+rd4czhh70hYqKCuNyucyGDRtMbW2tefbZZ01KSop55plnIuc89thjJiMjw/z1r381b7zxhvn85z9v8vLyzOXLl22sPH4sW7bMjBo1ymzfvt2cOHHCvPDCC2b48OHmO9/5TuQcetD7WltbzcGDB83BgweNJPPzn//cHDx4MLLz2M2853feeacpKioy+/fvN3v27DETJ040ixcvtuslDTjX60EgEDB33323GT16tKmuro76rO7o6Ig8Bz34ZG70c/BhH94dzpj+2wNC0ADy5JNPmtzcXOPxeMysWbPMvn377C4pbknq8fH73/8+cs7ly5fNt7/9bTNkyBCTkpJivvjFL5qGhgb7ik4AHw5B9KBvvPjii2bq1KnG6/WayZMnm9/+9rdR4+Fw2Kxbt85kZWUZr9dr5s2bZ2pqamyqNv60tLSYFStWmNzcXJOUlGTGjx9vvv/970f9oUcPet+uXbt6/BxYtmyZMebm3vP33nvPLF682AwePNikpaWZb3zjG6a1tdWGVzMwXa8HJ06cuOZn9a5duyLPQQ8+mRv9HHxYTyGov/bAMuaqW04DAAAAQJzjmiAAAAAACYUQBAAAACChEIIAAAAAJBRCEAAAAICEQggCAAAAkFAIQQAAAAASCiEIAAAAQEIhBAEAAABIKIQgAAAAAAmFEAQAAAAgoRCCAAAAACSU/w8/ioHXB3NrRwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
